Function Evaluation and Composition Steps

Function Evaluation and Composition Steps

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the concept of function composition, explaining how to evaluate compositions of functions using specific values. It introduces the notation and substitution involved in compositions and provides step-by-step examples. The tutorial also includes practice problems with solutions to reinforce understanding.

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a composition of functions?

A function that is divided by another function

A function that is substituted into another function

A function that is multiplied by another function

A function that is added to another function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the notation for composition of functions typically represented?

f(x) + g(x)

f(g(x))

f(x) / g(x)

f(x) * g(x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the composition of functions primarily involve?

Substitution

Subtraction

Addition

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example, what is the first step in evaluating f(g(x))?

Multiply f(x) and g(x)

Evaluate f(x) first

Evaluate g(x) first

Add f(x) and g(x)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating f(5) in the example?

5

10

7

15

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After evaluating f(5), what is the next step?

Plug the result into g(x)

Add the result to g(x)

Divide the result by g(x)

Multiply the result by g(x)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final result of the composition in the example?

98

94

100

88

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