Composite Functions and Their Evaluation

Composite Functions and Their Evaluation

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains composite functions, focusing on the order of operations between two functions, F and G. It demonstrates how to apply these functions sequentially, with F being applied first, followed by G. The tutorial includes a detailed example calculation, showing how to substitute values and expand expressions to reach a final result.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a composite function?

A function that operates independently.

A function that is composed of multiple variables.

A function that is always linear.

A function that combines two or more functions.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating a composite function?

Evaluate the outer function first.

Evaluate the inner function first.

Add the two functions together.

Multiply the two functions together.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a composite function, which function is applied first?

The function with the lowest degree.

The function with the highest degree.

The function that is inside the bracket.

The function that is outside the bracket.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which function is applied second in the composite function GF?

Function F

Function G

Function H

Function J

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the output of the first function in a composite function?

It is discarded.

It is divided by the next function.

It becomes the input for the next function.

It is multiplied by a constant.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the function G in the composite function GF?

It is the first function applied.

It is the second function applied.

It is not used in the composite function.

It is used to divide the output of F.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the function F represented in the composite function GF?

As a constant value.

As a variable multiplied by five.

As a variable divided by five.

As a variable added to five.

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