
Understanding Inverses of Functions

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

Mia Campbell
FREE Resource
Standards-aligned
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8 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of the Khan Academy exercise discussed in the video?
Understanding derivatives of functions
Understanding inverses of functions
Understanding limits of functions
Understanding integrals of functions
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplest way to determine the inverse of a function according to the video?
By solving the function for zero
By finding the derivative
By mapping points from h(x) to h inverse of x
By integrating the function
Tags
CCSS.HSF-BF.B.4C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If h(x) maps -8 to 1, what should h inverse of x map according to the video?
1 to -8
3 to -4
-8 to 1
-4 to 3
Tags
CCSS.HSF-BF.B.4C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse mapping for the point where h(x) maps 3 to -4?
-8 to 1
-4 to 3
3 to -4
1 to -8
Tags
CCSS.HSF-BF.B.4C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is another way to think about the inverse of a function as mentioned in the video?
As a translation along the x-axis
As a scaling transformation
As a reflection over the line y = x
As a rotation around the origin
Tags
CCSS.HSF-BF.B.4C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the graph of a function when it is reflected over the line y = x?
It becomes a vertical line
It becomes the inverse of the original function
It becomes a horizontal line
It remains unchanged
Tags
CCSS.HSF-BF.B.4C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the x and y values in the inverse of a function?
They are multiplied by each other
They are swapped
They are subtracted from each other
They are added together
Tags
CCSS.HSF-BF.B.4C
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final step in graphing the inverse of a function as described in the video?
Finding the derivative
Drawing a tangent line
Reflecting over the line y = x
Calculating the integral
Tags
CCSS.HSF-BF.B.4C
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