What is domain and range of the following function f(x) = -√(x-4) + 1

D: all real numbers R: all real numbers

What is the inverse to the function ƒ(x) = 10 (2x - 4) + 6

f -1 (x) = ½log(x − 6) − 2

What key feature do all these functions have in common ? -Cube Root -Exponential -Linear

All of the functions have a domain of all real numbers

All of the functions have a range of all real numbers

All of the functions have a critical point

All of the functions have an asymptote

Are these graphs inverses of each each other?

Not enough information to determine

What is the domain and range of this graph?

D: all real numbers R: all real numbers

What is the first step in finding the inverse of the function ƒ(x) = -3(x-4)² + 4?

Switch x and y in the equations

Inverses

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-BF.B.4A, HSF-BF.B.4C, HSF-BF.B.4B

+8

Standards-aligned

Barbara White

FREE Resource

34 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the inverse of f(x) = -4x - 12

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

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

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

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

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

(1, 4) and (4, 6)

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

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

(4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

(1, 2) (3, 8) (-3, 6)

(1, 2) (8, 3) (-3, 6)

(-1, -2) (-3, -8) (3, -6)

(2, 1) (8, 3) (6, -3)

Tags

CCSS.HSF-BF.B.4C

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

TRUE or FALSE?
If f(g(x)) = x, then f and g must be inverses of one another.

TRUE

FALSE

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

1

-1

2

-2

Tags

CCSS.HSF-BF.B.4C

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

g(-2) = -1

g(2) = 1

g(-2) = 1

g(1) = 2

Tags

CCSS.HSF-BF.B.4C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

TRUE or FALSE
If f is an invertible function and f(a) = b, then f^-1(b) = a.

TRUE

FALSE

Tags

CCSS.HSF-BF.B.4A

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Inverses

34 questions

Find the inverse of f(x) = -4x - 12

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

TRUE or FALSE?
If f(g(x)) = x, then f and g must be inverses of one another.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

TRUE or FALSE
If f is an invertible function and f(a) = b, then f^-1(b) = a.

TRUE or FALSE
The inverse of f(x) = x² is g(x) = √(x).

TRUE or FALSE
The inverse of f(x) = x³ is g(x) = ∛x

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Inverses

34 questions

Find the inverse of f(x) = -4x - 12

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

TRUE or FALSE?If f(g(x)) = x, then f and g must be inverses of one another.

Determine f-1(2) given the following information about an invertible function, f(x)f(1) = -3f(2) = -2f(-1) = 2f(3) = -1

If f and g are inverse functions, and f(2) = -1 g(1) = -2 f(1) = -2, then which of the following MUST be true?

TRUE or FALSEIf f is an invertible function and f(a) = b, then f-1(b) = a.

TRUE or FALSEThe inverse of f(x) = x2 is g(x) = √(x).

TRUE or FALSEThe inverse of f(x) = x3 is g(x) = ∛x

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

TRUE or FALSE?
If f(g(x)) = x, then f and g must be inverses of one another.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

If f and g are inverse functions, and
f(2) = -1 g(1) = -2 f(1) = -2,
then which of the following MUST be true?

TRUE or FALSE
If f is an invertible function and f(a) = b, then f^-1(b) = a.

TRUE or FALSE
The inverse of f(x) = x² is g(x) = √(x).

TRUE or FALSE
The inverse of f(x) = x³ is g(x) = ∛x