Inverse Functions - Assessment

1.

Multiple Choice

1 min

1 pt

The inverse of the function f(x) is written as ...

f ^-1(x)

f ²(x)

f '(x)

f ⁺(x)

2.

Multiple Choice

45 sec

1 pt

The inverse has been reflected over which line?

y = x

x = 0

y = 0

x = -y

3.

Multiple Choice

45 sec

1 pt

Which of the following is NOT TRUE about inverse functions?

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function always becomes the domain of its inverse.

The domain of a function always becomes the range of its inverse.

4.

Multiple Choice

45 sec

1 pt

What are the missing values if g(x)=f^-1(x)?

(9,-5)

(-9,-5)

(5,9)

(-9,5)

5.

Multiple Choice

45 sec

1 pt

What is the best description?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

They are inverse functions.

6.

Multiple Choice

45 sec

1 pt

What's the best description?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

They are inverse functions.

7.

Multiple Choice

45 sec

1 pt

What's the best description?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

They are inverse functions.

8.

Multiple Choice

45 sec

1 pt

What is the best description?

They are both functions, but not inverse functions.

They are inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

9.

Multiple Choice

45 sec

1 pt

What is the best description?

They are both functions, but not inverse functions.

They are inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

10.

Multiple Choice

1 min

1 pt

Which graph represents f^-1(x) over the same domain?

11.

Multiple Choice

1 min

1 pt

f(x) = -4x - 12

What is f^-1(x)?

f^-1(x) = 4x - 3

f^-1(x) = -4x - 3

12.

Multiple Choice

45 sec

1 pt

Which is f ^-1(x)?

f^-1(x) = 5x + 3

f^-1(x) = 5x - 3

f^-1(x) = 5x - 15

13.

Multiple Choice

45 sec

1 pt

Which is f ^-1(x)?

f^-1(x) = 3x + 5

f^-1(x) = 3x - 5

f^-1(x) = 3x - 15

f^-1(x) = 3x + 15

14.

Multiple Choice

45 sec

1 pt

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

15.

Multiple Choice

45 sec

1 pt

16.

Multiple Choice

45 sec

1 pt

17.

Multiple Choice

45 sec

1 pt

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

x ≤ 0

x ≥ 0

x ≤ 3

x ≥ 3

18.

Multiple Choice

45 sec

1 pt

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

x ≤ -4

x ≥ -4

x ≤ 0

x ≥ 0

19.

Multiple Choice

45 sec

1 pt

20.

Multiple Choice

45 sec

1 pt

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

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