Which graph represents the function?
g(x) = {x if x < 2
{-3 if x >= 2

Which Graph Represents The Function?g(x) = {x If X &lt; 2 {-3 If X &gt;= 2

Answers

Answer 1

Step-by-step explanation:We have to graph the function g(x) which is given as:

g(x)=  x when x<2

and -3 when x ≥2.

Clearly after looking at the function we see that the function is not continuous since we find the continuity at x=2 as follows.

Left hand limitat 2:

g(2-h)=lim h→0 2-h

       =2-0=2

Also right hand limit at x=2 is:

g(2+h)=lim h→0 (2+h)

         = 2+0=2

Also g(2)= -3.

As:

Left hand limit= Right hand limit but is not equal to function's value at that point.

Hence, the function is discontinuous at x=2.

so for x<2 we will get a graph of a line y=x.

and for x≥2 we will get a straight line y=-3 parallel to the domain.


Related Questions

1 Find x and H in the right angled below​

Answers

You didn't include the right triangle but this is all I could find.

x = 1

H = sqrt(15)

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

As you are crossing a field at the farm, your country cousin Jake assures you "Don't worry about that old bull coming toward us. He's harmless." As you consider Jake's hypothesis, what would be Type I error on your part? a.You will soon feel the bull's horns. b.Jake will not have any more visits from you.
c.You will run away for no good reason.

Answers

A Type I error occurs when you reject a true null hypothesis. In this case, the null hypothesis is that the bull is harmless, as stated by your cousin Jake. So, a Type I error would be rejecting this hypothesis and believing that the bull is dangerous when it is actually harmless. Therefore, the correct answer is c. You will run away for no good reason.

In statistical hypothesis testing, Type I error is the probability of rejecting a true null hypothesis, while Type II error is the probability of failing to reject a false null hypothesis. In this situation, the null hypothesis is that the bull is harmless, and the alternative hypothesis is that the bull is dangerous. If you commit a Type I error, you are falsely concluding that the bull is dangerous when it is actually harmless.

If you commit a Type I error in this scenario, it means you will run away from the bull for no good reason, as you have rejected the true null hypothesis that the bull is harmless.

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Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.

Answers

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

whats an expression for the bracelets?

Answers

An expression for the number of bracelets of n beads, where rotations.

Whats an expression for the bracelets?

In mathematics, the term "bracelets" can refer to a type of combinatorial object, specifically, a set of beads arranged in a circular pattern. An expression for the number of bracelets of n beads, where rotations and reflections are considered identical, can be given as follows:

B(n) = (1/n) * (2raise to the power (n-1) + Σ(d|n, d<n) μ((n/d)) * 2 raise to the power ((n/d)-1))

Here, B(n) represents the number of distinct bracelets of n beads, Σ denotes the summation, d|n denotes "d divides n", and μ is the Möbius function.

The first term in the expression, (1/n) * (2 raise to the power (n-1)), represents the number of bracelets that are invariant under rotation. The second term takes into account the bracelets that are not invariant under rotation, but are invariant under reflection, and involves the Möbius function.

This expression can be used to calculate the number of bracelets for any value of n, by plugging in the value of n and evaluating the expression.

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how do u find the b in y=mx+b plz help

Answers

Answer:

b = y - mx

Step-by-step explanation:

Given

y = mx + b ( subtract mx from both sides )

y - mx = b

In which step did the student first make a mistake and how can it be corrected? (4 points)

Answers

Answer: The answer is Step 2 it should be m o plus m p = 180 degrees (Supplementary angles)

Step-by-step explanation: The reason it’s this answer first we know the triangle will equal 180 and 2 it was supplementary

Help yo I’ll give brainly

Help yo Ill give brainly

Answers

Answer:

Equation 3 is correct.

Step-by-step explanation:

It's the same equation but divided by 2.

The point p=(x,1/2)
Lies in the unit circle shown below what is the value of X in simplest

The point p=(x,1/2)Lies in the unit circle shown below what is the value of X in simplest

Answers

Hahaha give me these points is p=1/2

Martina runs 8 miles in 72 minutes.
How many minutes does she take per mile?

Answers

Answer:

9 minutes per mile

Step-by-step explanation:

72/8 = 9 min/mile

Select the correct answer.
The loudest animal on Earth is the blue whale. Blue whales can emit sound with an intensity of 106.8 watts/meter2. The equation
log
by the human ear, Io (approximately 1 x 10-12 watts/meter).
Based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?
A.
140 dB
B.
100 dB
C. 240 dB
D. 1,000 dB

Select the correct answer.The loudest animal on Earth is the blue whale. Blue whales can emit sound with

Answers

Answer:

140 db

Step-by-step explanation:

I have succesfully finished tihs

The value is closest to the sound level of the vocalizations of a blue whale is 140dB.

We have given that,

Intensity(I)= 106.8 watts/meter^2

The intensity of sound hair by the human ear is,

\(I_0=1\times10^{-12}\)

What is the meaning of the sound intensity?

Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.

We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale

So we have given the formula

\(B=10 log(\frac{I}{I_0} )\)

So use the given value we get

\(B=10 log(\frac{106.8}{1\times 10^{-12}} )\)

B= 140.28 dB≈140 dB

Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.

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Mashika: We already know from polling data that some segments of the electorate provide significant support to Ms. Puerta. If those segments also provide significant support to Mr. Quintana, then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez.

Salim: But actually, as the latest polling data conclusively shows, at least one segment of the electorate does provide significant support to both Mr. Quintana and Mr. Ramirez.

Among the following statements, which is it most reasonable to infer from the assertions by Mashika and Salim?

A. At least one segment of the electorate provides significant support neither to Mr. Quintana nor to Mr. Ramirez.
B. At least one segment of the electorate provides significant support to Ms. Puerta but not to Mr. Quintana.
C. Each segment of the electorate provides significant support to Ms. Puerta.
D. Each segment of the electorate provides significant support to Mr. Quintana.
E. Each segment of the electorate provides significant support to Mr. Ramirez.

Answers

Answer:

D. Each segment of the electorate provides significant support to Mr Quintana

Step-by-step explanation:

From the question, we have the following logic statement;

If those segment that provide significant support to Ms Puerto also provide support to Mr. Quintana then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez

Counter to the If Then Logic structure

At least one segment of the lectorate provides significant support to Mr. Quintana and Mr. Ramirez

Therefore, there is at least one segment that provides support to Mr. Quintana but not to Ms. Puerta

The segments that provide support to Ms. Puerta do not provide support to Mr. Ramirez

Mr. Quintana's support includes those from the supporters of Ms. Puerta and those from the supporters of Mr. Ramirez

Therefore, each segment of the electorate provide significant support to Mr. Quintana.

simplify the expression using properties of operation -8(1 +x) + 7x

Answers

Answer:

- x - 8

Step-by-step explanation:

Step 1:

- 8 ( 1 + x ) + 7x        Equation

Step 2:

- 8 - 8x + 7x        Multiply

Step 3:

- 8 - x        Combine Like Terms

Answer:

- x - 8

Hope This Helps :)

Solve for x:
15 + 8x = 47

Answers

Answer:

The answer is x=4

Step-by-step explanation:

can someone please answer this for mee ?

can someone please answer this for mee ?

Answers

40 gallons of water drain every 5 minutes :)

From 5 minutes to 10 minutes it drained 40 gallons and then drained 40 more gallons at 15 minutes

Answer: 40 gallons for every 5 minutes.

What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.

Answers

Answer:11/57

Step-by-step explanation:

Solve the inequality:
2x – 3 < x + 2 < 3x + 5
Show your work.

Solve the inequality:2x 3 &lt; x + 2 &lt; 3x + 5Show your work.

Answers

Answer:

x+2/3

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

2x−3<x+2≤3x+5

Solve 2x−3<x+2 for x.

x<5

Solve x+2≤3x+5 for x.

x≥−32

Find the intersection of x<5 and x≥−32.

−3/2≤x<5

Hope this helps! :) Plz mark as brainliest

950.95 written in expanded form

Answers

Answer:

(9 x 100) + (5 x 10) +  (0 x 1) + (9/10) + (5/100)

hope this helps brainliest <3

Answer:

Step-by-step explanation:

Which equation represents a nonlinear function? y=−85x+19.4 y = − − 8 5 x + 19.4 y=−12x2−7 y = − − 1 2 x 2 − − 7 y=x4+x y = x 4 + x y=32−4

Answers

Answer:

The answer is below.

Step-by-step explanation:

The options are not clear. I would solve a similar question.

A linear function is a function in the form:

y = mx + b;  where y and x are variables, m is the slope and b is the y intercept.

From the options:

a) x(y - 5) = 2

xy - 5x = 2.   Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.

b) y - 2(x + 9) = 0

y - 2x - 18 = 0

y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.

c) 3y + 6(2 - x) = 5

3y + 12 - 6x = 5

3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.

d) 2(y + x) = 0

2y + 2x = 0

2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.

Which equation represents a nonlinear function? y=85x+19.4 y = 8 5 x + 19.4 y=12x27 y = 1 2 x 2 7 y=x4+x

What is 4 = 2(x + 3)

Answers

Answer:

x = -1

Step-by-step explanation:

4 = 2(x + 3)

distribute to remove the parenthesis

4 = 2x + 6

-6          -6

move the 6

-2 = 2x

2    2

divide

-1 = x

the voltage produced by the colorimeter is __________ to the absorbance of the sample and ____________ to the light intensity.

Answers

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

What is voltage?

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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Maree pays $73.87 per month for Sky television
and $127.50 per month to rent a plasma
television. Estimate how much she spends per
year on TV watching.

Answers

Answer:

2416

Step-by-step explanation:

12 × (73.87 + 127.50)

=2416.44

PLEASE HELP I HAVE 2 MINS !!!
I WILL GIVE BRAINLYEST !!!

PLEASE HELP I HAVE 2 MINS !!! I WILL GIVE BRAINLYEST !!!

Answers

Answer:

3/14

Step-by-step explanation:

First, divide because of PEMDAS, and 1/7 ÷ 2/5=5/14. Then you subtract 1/7, which is equal to 2/14, so the answer is 3/14.

(hope this helps!)

Answer:

3/14

Step-by-step explanation:

20 points question: Please Help!!!! Need Explanations as well. No Links!

20 points question: Please Help!!!! Need Explanations as well. No Links!

Answers

Answer: C

Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.

percent.
7) A new social media site is increasing its
user base by a constant percentage per
month. If the user base grows from
29,130 users to 52,167 users over 10
months, at what monthly rate is the user base increasing?

Answers

Answer:

5. % increase in user base per month (g) = 10% Users at t0 (P) = 10000

Step-by-step explanation:

When conducting a hypothesis test for a given sample size, if the probability of a type i error decreases, then the __________.

Answers

Based on the type I error, if a hypothesis test leads to the probability of a type I error decreasing, then the a. probability of incorrectly accepting the null hypothesis decreases.

What is a type I error?

A type I error refers to when we are are engaged in a hypothesis test and end up rejecting the Null hypothesis even though it is true.

If we are in hypothesis tests and the probability of a type 1 error decreases, then it means that the probability of us correctly rejecting the null hypothesis when it is false increases.

It also means that the probability of us correctly accepting the null hypothesis when it is true increases as well.

This can further be said as the probability of us accepting the null hypothsis when it is false, decreases. There are therefore less chances of us incorrectly accepting the null hypothesis.

Options for this question include:

a. probability of incorrectly accepting the null hypothesis decreasesb. probability of Type II error decreasesc. probability of incorrectly accepting the null hypothesis increasesd. probability of incorrectly rejecting the null hypothesis increases

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Find volume of cylinder if its
radius
height
5.5m and
height 9 m?​

Answers

Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

Given the function g(x)=2x and the domain {0, 2, 4), what is the range? {0, 1, 2} {2, 4, 8) {1, 2, 3) {0, 4, 8}

Answers

According to the question we get the following outputs For x = 0, g(0) = 0 , For x = 2, g(2) = 4 , For x = 4, g(4) = 8. the range of the function g(x) = 2x, with the given domain {0, 2, 4}, is {0, 4, 8}.

The range of the function g(x) = 2x, with the given domain {0, 2, 4}, can be determined by evaluating the function for each value in the domain.

For x = 0: g(0) = 2(0) = 0

For x = 2: g(2) = 2(2) = 4

For x = 4: g(4) = 2(4) = 8

Therefore, the range of the function is {0, 4, 8}.

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Find the values of the six trigonometric functions for the angle in standard position determined by each point.

(-8,-15)

Answers

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)^2 + (-15)^2) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17
2. Cosine (cos): -8/17
3. Tangent (tan): -15/-8 = 15/8
4. Cosecant (csc): 17/-15 = -17/15
5. Secant (sec): 17/-8 = -17/8
6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

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These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

To find the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15), we can use the coordinates to determine the values.

First, we need to find the hypotenuse of the right triangle formed by the point (-8, -15) and the x-axis. Using the Pythagorean theorem, we get √((-8)² + (-15)²) = √(64 + 225) = √289 = 17.

Next, we can determine the values of the trigonometric functions:

1. Sine (sin): -15/17

2. Cosine (cos): -8/17

3. Tangent (tan): -15/-8 = 15/8

4. Cosecant (csc): 17/-15 = -17/15

5. Secant (sec): 17/-8 = -17/8

6. Cotangent (cot): -8/15

These are the values of the six trigonometric functions for the angle in standard position determined by the point (-8, -15).

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In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err

Answers

Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.

To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.

To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.

Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.

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Given the following information about the arithmetic sequence an, find a10. A5=24 a8=39 stefan's law says: a. that doubling the star's temperature would also double its peak wavelength. b. that if the sun's temperature were doubled, it would give off 16x more energy. c. the hotter a star's surface, the bluer it looks to us. d. e HELP I AM TIMED!! Which statement best explains the teaching of Taoism? A. People should live with virtue and respect nature.B. People should respect the government at all cost. C. People should learn to live with imbalance in their lives. D. People should learn that there is only one right way to live. Let f(x) = cos(x) + 2x.Where does f have critical points? Draw rectangle FLAT with FL = 5cm , LA= 3cm 1.00 gram of a compound requires the following quantities of solvent to dissolve: 147.0 mL of water, 8.10 mL of chloroform, 37.0 mL of diethyl ether, or 86.0 mL of benzene. Calculate the partition coefficient of the compound between chloroform and water, ethyl ether and water, and benzene and water. Which solvent would you choose to extract the compound from an aqueous solution? when general joseph johnston was injured at the battle of seven pines, to whom did command of the confederate forces eventually fall? luoa 1. A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of thisheight is:a) 34 inches?b) 54 inches? What is the strength of electric field EpEp 0.60 mmmm from a proton? Express your answer to two significant figures and include the appropriate units. is 1/2 solution to the equation 8 - 2z = 10z+3? Select your answers from the drop-down lists. 4. In "The Monsters Are Due on Maple Street," Where is the story taking place? (Setting) HELP ME ASAP PLSRob is saving to buy a new MP3 player. For every $13 he earns babysitting, he saves $5. On Saturday, Robearned $39 babysitting. How much money did he save?If he earned $39, he saved... Line a is purpendicular to line b. if the slope of line a is 7 than what is the slope of line b 3Which is the greatest fraction? Circle your answer.3100310003500How do you know? the security guards and tellers at national bank receive extensive training on how to handle medical emergencies, angry customers, and suspicious packages. which of the following security programs is most likely being used at national bank? 1 ptThe Constitution, as completed on September 17, 1787, gave the national government which of the following?Powers equal to those that were granted to the statesA weak chief executive with carefully limited powersFewer powers than those reserved to the statesBroad powers over taxation, military defense, and commerce Activity: write 3 three sentence about the picture. use the correct forms of adjectives in your sentence Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase? a(8x + 7) what is the value of a Brainliest and 100pts