
Understanding Inverse Functions

Interactive Video
•
Mathematics
•
8th - 10th Grade
•
Hard
+1
Standards-aligned

Amelia Wright
Used 1+ times
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary concept behind finding the inverse of a function?
Switching the input and output values
Multiplying the function by -1
Adding a constant to the function
Dividing the function by its derivative
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When finding the inverse of a function, what do you interchange?
The exponents in the function
The coefficients of the function
The x and y values
The constants in the function
Tags
CCSS.HSF-BF.B.4A
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it often easier to use 'y' instead of 'f(x)' when finding an inverse?
Because 'y' is always positive
Because 'f(x)' is not a valid mathematical term
Because it simplifies the algebraic process
Because 'y' is a simpler letter
Tags
CCSS.HSF-BF.B.4A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function algebraically?
Divide by the coefficient of x
Add 1 to both sides
Change 'f(x)' to 'y'
Multiply both sides by 2
Tags
CCSS.HSF-BF.B.4A
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example provided, what is the inverse of the function f(x) = 3x - 1?
f inverse(x) = x - 1 / 3
f inverse(x) = 3x + 1
f inverse(x) = x + 1 / 3
f inverse(x) = 1 - x / 3
Tags
CCSS.HSA.REI.B.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What operation is performed after interchanging x and y to solve for y?
Add 1 to both sides
Subtract 1 from both sides
Divide both sides by 3
Multiply both sides by 3
Tags
CCSS.HSF-BF.B.4A
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in finding the inverse of a function?
Solve for y
Multiply by the original function
Verify the inverse by substitution
Graph the function
Tags
CCSS.HSF-BF.B.4A
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