Understanding Inverses of Exponential and Logarithmic Functions

Understanding Inverses of Exponential and Logarithmic Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Jennifer Brown

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the exponential function discussed in the introduction?

Base 5

Base 10

Base 3

Base 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which line do the graphs of inverse functions reflect over?

y = 2x

y = x

x = y

x = 2y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the domain of an exponential function when it becomes a logarithmic function?

It becomes the range

It remains the same

It doubles

It becomes negative

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of composing a function with its inverse?

The original function

Infinity

The identity function

Zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the inverse of a function?

Divide by 3

Add 5 to x

Multiply by 2

Switch x and y, then solve for y

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of multiplying by 2?

Subtracting 2

Multiplying by 3

Adding 2

Dividing by 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is the inverse of the function y = 3 log base 5 of x?

5^(x/3)

3^(x/5)

x^3

log base 3 of x

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