Exploring Composite Functions in Mathematics
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a composite function?
A function that maps multiple inputs to one output
A function that has no inputs
A function that is formed by combining two functions
A function that maps one input to multiple outputs
Tags
CCSS.HSF-BF.A.1C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding a composite function?
Substitute the outer function
Substitute the inner function
Simplify the outer function
Combine the functions directly
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function in f(g(x)) if f(x) = 3x - 1 and g(x) = x^2 - 2?
3x - 1
g(x)
x^2 - 2
f(x)
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of f(g(x)) when f(x) = 3x - 1 and g(x) = x^2 - 2?
3x^2 - 7
3x^2 - 2
3x^2 - 6
3x^2 - 1
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inner function in g(f(x)) if f(x) = 3x - 1 and g(x) = x^2 - 2?
x^2 - 2
g(x)
f(x)
3x - 1
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of g(f(x)) when f(x) = 3x - 1 and g(x) = x^2 - 2?
9x^2 - 6x + 2
9x^2 - 6x - 2
9x^2 - 6x - 1
9x^2 - 6x + 1
Tags
CCSS.HSF-BF.A.1C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the output of g(-2) if g(x) = x^2 - 2?
-2
0
4
2
Tags
CCSS.HSF.IF.A.2
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