Quiz about Graphically Finding Inverses

Question 1

How could you find the inverse of f(x) graphically? **choose the TWO correct answers**

Accepted Answer

Reflect points of f(x) across the line y = x

Accepted Answer

Swap x and y coordinates for each point of f(x)

Answer

Reflect points of f(x) across the line y = -x

Answer

Reflect points of f(x) across the line y = 0

Question 2

Is the inverse of the function shown above also a function?

Accepted Answer

No

Answer

Yes

Answer

I don't know

Answer

Maybe?

Question 3

A graph and its inverse are always symmetrical about the line...

Accepted Answer

$$y=x$$

Answer

$$y=-x$$

Answer

$$y=0$$

Answer

$$y=1$$

Question 4

The equation of f(x) goes through the points (1, 4) and (4, 6).

What points does the inverse go through?

Accepted Answer

(4, 1) and (6, 4)

Answer

(1, 4) and (4, 6)

Answer

(-4, -1) and (-6, -4)

Answer

(-1, -4) and (-4, -6)

Question 5

The inverse has been reflected over which line?

Accepted Answer

y = x

Answer

y =1

Answer

y = 0

Answer

y = x + 1

Question 6

Are the blue and red graphs inverse functions?

Accepted Answer

yes

Answer

no

Answer

no way to tell

Question 7

Which graph represents the functions f(x) and f^-1(x)?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 8

Which graph represents the functions f(x) and f^-1(x)?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 9

Graph the inverse

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 10

The graph of $$y=x^3$$ is graphed in blue. Which of the following equations could be equation of the function graphed in red?

Accepted Answer

$$y=-5\left(x+2\right)^3-1$$

Answer

$$y=5\left(x+2\right)^3-1$$

Answer

$$y=-\frac{1}{5}\left(x+2\right)^3-1$$

Answer

$$y=\frac{1}{5}\left(x+2\right)^3-1$$

Question 11

Are these inverse functions

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 12

What does it mean to create the inverse of a function graphically?

Accepted Answer

Switch the domain and range.

Answer

The domain stays the same.

Answer

The range goes away.

Answer

The range becomes negative.

Question 13

Are these the graphs of two inverse functions?

Accepted Answer

Yes

Answer

No

Answer

No way to tell

Question 14

Will the inverse of this function, be a function?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 15

Suppose you are given a table of values. When creating a table for the inverse graph you must...?

Accepted Answer

Switch the x and y

Answer

Solve for x

Answer

Plot the coordinates

Answer

Run and hide

Question 16

Are these functions inverses?

Accepted Answer

Yes

Answer

No

Question 17

Will the inverse of the function shown above also be a function. How can you tell?

Accepted Answer

Yes since the graph shown passes the HLT

Answer

Yes since the graph shown passes the VLT

Answer

No, since the inverse fails the VLT

Answer

No, since the inverse fails the HLT

Question 18

Applying the Horizontal Line Test (HLT) to the graph of f(x) tells you whether:

Accepted Answer

f^-1(x) is a function

Answer

f(x) is a function

Answer

f(x) is a relation

Answer

f^-1(x) is dysmorphic

Question 19

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Graphically Finding Inverses

20 questions

How could you find the inverse of f(x) graphically? choose the TWO correct answers

Is the inverse of the function shown above also a function?

A graph and its inverse are always symmetrical about the line...

The equation of f(x) goes through the points (1, 4) and (4, 6).
What points does the inverse go through?

The inverse has been reflected over which line?

Are the blue and red graphs inverse functions?

Which graph represents the functions f(x) and f^-1(x)?

Which graph represents the functions f(x) and f^-1(x)?

Graph the inverse

Graph the inverse of the function shown above.

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Graphically Finding Inverses

20 questions

How could you find the inverse of f(x) graphically? **choose the TWO correct answers**

Is the inverse of the function shown above also a function?

A graph and its inverse are always symmetrical about the line...

The equation of f(x) goes through the points (1, 4) and (4, 6).What points does the inverse go through?

The inverse has been reflected over which line?

Are the blue and red graphs inverse functions?

Which graph represents the functions f(x) and f-1(x)?

Which graph represents the functions f(x) and f-1(x)?

Graph the inverse

Graph the inverse of the function shown above.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

How could you find the inverse of f(x) graphically? choose the TWO correct answers

The equation of f(x) goes through the points (1, 4) and (4, 6).
What points does the inverse go through?

Which graph represents the functions f(x) and f^-1(x)?

Which graph represents the functions f(x) and f^-1(x)?