
Inverse Functions and One-to-One Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a one-to-one function?
A function where each y-value is paired with exactly one x-value
A function where each y-value is paired with multiple x-values
A function where each x-value is paired with multiple y-values
A function that fails the vertical line test
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which test helps determine if a function is one-to-one?
Horizontal Line Test
Derivative Test
Slope Test
Vertical Line Test
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important for a function to be one-to-one?
Because only one-to-one functions have inverse functions
Because one-to-one functions are always continuous
Because one-to-one functions are always linear
Because one-to-one functions are always quadratic
Tags
CCSS.HSF-BF.B.4C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the informal definition of an inverse function?
A function that squares the input
A function that multiplies by 2
A function that undoes another function
A function that adds 3
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If f(x) = 3x, what is the inverse function g(x)?
g(x) = 3 / x
g(x) = x + 3
g(x) = x - 3
g(x) = x / 3
Tags
CCSS.HSF-BF.B.4C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formal definition of an inverse function?
A function that maps from set A to set B
A function that maps from set B to set A and returns each element to itself
A function that maps from set B to set A
A function that maps from set A to set B and returns each element to itself
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in determining an inverse function?
Graph the function
Interchange the x and y variables
Solve the equation for y
Determine if the function is one-to-one
Tags
CCSS.HSF-BF.B.4A
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