What is the main idea behind an inverse function?

Inverse Functions and Their Properties

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To swap inputs and outputs
To divide inputs and outputs
To multiply inputs and outputs
To add inputs and outputs
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you denote an inverse function algebraically?
f^-1(y) = x
f(x) = x^-1
f^-1(x) = y
f(x) = y
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function algebraically?
Multiply both sides by 2
Divide by 2
Swap the variables x and y
Add 4 to both sides
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the x and y intercepts when you graph an inverse function?
They are divided by 2
They swap places
They are multiplied by 2
They remain the same
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the point of intersection for a function and its inverse?
(2, 2)
(0, 0)
(1, 1)
(4, 4)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse of the function x^2 - 1?
x^2 + 1
Square root of (x - 1)
Square root of (x + 1)
x + 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is there a domain restriction for the inverse of x^2 - 1?
To ensure it remains a function
To make it a relation
To simplify calculations
To avoid negative numbers
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