Inverse Functions and Their Properties
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
Jackson Turner
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the given functions f(x) and g(x) in the video?
f(x) = 2x - 5 and g(x) = 2x + 5
f(x) = 2x - 5 and g(x) = 1/2x + 5/2
f(x) = x^2 - 5 and g(x) = 1/2x + 5
f(x) = 2x + 5 and g(x) = 1/2x - 5/2
Tags
CCSS.HSF-BF.B.4B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the condition for two functions to be inverses of each other?
f(g(x)) = x and g(f(x)) = x
f(g(x)) = g(x) and g(f(x)) = f(x)
f(g(x)) = 0 and g(f(x)) = 0
f(g(x)) = 1 and g(f(x)) = 1
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in verifying f(g(x)) algebraically?
Graph the functions
Solve for x
Substitute f(x) into g(x)
Substitute g(x) into f(x)
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of f(g(x)) after simplification?
2x
x
5
0
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in verifying g(f(x)) algebraically?
Graph the functions
Substitute g(x) into f(x)
Substitute f(x) into g(x)
Solve for y
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of g(f(x)) after simplification?
0
5
2x
x
Tags
CCSS.HSF-BF.B.4B
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are the graphs of f(x) and g(x) related if they are inverses?
They intersect at the origin
They are identical
They are reflections across the line y = x
They are parallel lines
Tags
CCSS.HSF-IF.C.7E
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