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Evaluating Function Compositions

Evaluating Function Compositions

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers the evaluation of function compositions through examples. It begins with an introduction to example 6, where the composition of functions is evaluated. The tutorial demonstrates the step-by-step process of evaluating f(g(-1)), h(9), and h(g(0)). Each example is broken down into smaller steps, showing how to substitute values and simplify expressions. The video emphasizes the importance of understanding function compositions and provides clear explanations for each calculation.

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of Example 6 in the video?

Solving quadratic equations

Evaluating compositions of functions

Graphing linear functions

Finding the derivative of a function

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating f(g(x))?

Simplify the expression f(x)

Find the derivative of f(x)

Calculate g(x) for a specific input

Graph the function g(x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is g(-1) calculated in the video?

By squaring -1 and performing arithmetic operations

By taking the square root of -1

By adding 1 to the function

By multiplying -1 by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of g(-1) in the video?

10

8

7

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding g(-1), what is the next step?

Find the inverse of f(x)

Substitute the result into f(x)

Graph the function f(x)

Calculate f(0)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(8) as calculated in the video?

3

5

7

9

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating h(9)?

Subtract 9 from 10

Add 9 to 3

Multiply 9 by 2

Find the square root of 9

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