Quiz about Inverses of Exponential and Log Functions

Question 1

Logarithmic functions are the inverse of...

Accepted Answer

Exponential Functions

Answer

Linear Functions

Answer

Quadratic Functions

Answer

Polynomial Functions

Question 2

How are exponentials and logarithms related?

Accepted Answer

They're inverses

Answer

They're cousins

Answer

They're not related

Answer

They're reciprocals

Question 3

Which graph best represents the following logarithmic function?
$$y=\log_2x$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 4

Where is the asymptote?

Accepted Answer

x = 1

Answer

y = 1

Answer

x = -1

Answer

y = -1

Question 5

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

Accepted Answer

y=x

Answer

the x-axis

Answer

the y-axis

Answer

y=-x

Question 6

Which equation is the inverse of the equation above?

Accepted Answer

D) y = (x - 3)/2

Answer

A) x + 2 = 5

Answer

B) y = 2x + 3

Answer

C) x = 5 - 2y

Question 7

Which equation is the inverse of the equation above?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 8

What is the inverse of f(x)=5^x+3?

Accepted Answer

f^-1(x)=log₅(x-3)

Answer

f^-1(x)=log₃(x-5)

Answer

f^-1(x)=log₅(x)-3

Answer

f^-1(x)=log₅(x+3)

Question 9

What is the base?

Accepted Answer

5

Answer

1

Answer

10

Answer

3

Question 10

What is the x-intercept of log₇(x)?

Accepted Answer

(1, 0)

Answer

(2, 0)

Answer

(-1, 0)

Answer

(0, 1)

Question 11

When creating a graph for f(x)=log₇(x), what should be typed into the graphing calculator?

Accepted Answer

y₁= log(x) / log(7)

Answer

y₁= log(7)x

Answer

y₁= log(7x)

Answer

y₁= log(7) / log(x)

Question 12

Which graph best represents the following logarithmic function?
$$y=\log_4x$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 13

Logarithms and Exponentials are what?

Accepted Answer

inverses

Answer

parallel

Answer

perpendiular

Answer

congurent

Question 14

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 15

What is the equation of the asymptote?

Accepted Answer

x = -3

Answer

x=3

Answer

y= -3

Answer

y=5

Question 16

What is the x-intercept of log₇(x)?

Accepted Answer

1

Answer

Pizza

Answer

-1

Answer

0

Question 17

Describe the transformations of f(x)= -log₂(x+1)

Accepted Answer

left one & reflected over the x-axis

Answer

left 1

Answer

left one & reflected over the y-axis

Answer

right one & reflected over the x axis

Inverses of Exponential and Log Functions

20 questions

Logarithmic functions are the inverse of...

How are exponentials and logarithms related?

Where is the asymptote?

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

What is the inverse of f(x)=5^x+3?

A logarithmic function is the inverse of an exponential function. (a)

What is the base?

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Inverses of Exponential and Log Functions

20 questions

Logarithmic functions are the inverse of...

How are exponentials and logarithms related?

Where is the asymptote?

The exponential function f(x)=2x and the logarithmic function g(x)=log2(x) are inverses. You know that because their graphs are reflected over what line?

Which equation is the inverse of the equation above?

Which equation is the inverse of the equation above?

What is the inverse of f(x)=5x+3?

A logarithmic function is the inverse of an exponential function. (a)

What is the base?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

The exponential function f(x)=2^x and the logarithmic function g(x)=log₂(x) are inverses. You know that because their graphs are reflected over what line?

What is the inverse of f(x)=5^x+3?