
Understanding Composition of Functions

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

Lucas Foster
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main idea behind the composition of functions?
The output of the inner function becomes the input of the outer function.
The functions are added together.
The input of the outer function becomes the output of the inner function.
Both functions are evaluated independently.
Tags
CCSS.HSF-BF.A.1C
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can the composition of functions be visualized?
As a series of mathematical equations.
As a conveyer belt where outputs become inputs.
As a set of independent calculations.
As a single function with multiple variables.
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating F(G(7))?
271
294
539
542
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the notation F(G(x)) often more helpful?
It simplifies the calculation process.
It allows for easier visualization.
It clearly shows the order of operations.
It is the only correct notation.
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating G(F(2))?
7
5
2
1
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the order of composition important?
It determines the final output.
It affects the input values.
It does not matter.
It changes the functions used.
Tags
CCSS.HSF-BF.A.1C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating F(G(-3))?
142
139
54
71
Tags
CCSS.HSF-BF.A.1C
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