Overview of combining functions

Overview of combining functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to combine two functions, F(x) = X^2 and G(x) = X + 2, using different operations: addition, subtraction, multiplication, and division. It highlights the importance of using parentheses in subtraction to avoid errors and discusses the concept of domain in division, emphasizing that division by zero is undefined. The tutorial also mentions that composition of functions will be covered in a subsequent video.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following operations is NOT mentioned as a way to combine functions?

Exponentiation

Addition

Subtraction

Multiplication

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding F(x) = X^2 and G(x) = X + 2?

X^2 + X + 2

X^2 / (X + 2)

X^2 - X + 2

X^2 * X + 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When subtracting functions, why is it important to use parentheses?

To ensure the correct order of operations

To avoid adding terms instead of subtracting

To make the expression look neat

To simplify the expression

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting G(x) = X + 2 from F(x) = X^2?

X^2 + X - 2

X^2 - X + 2

X^2 - X - 2

X^2 + X + 2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying F(x) = X^2 and G(x) = X + 2?

X^3 - 2X^2

X^2 + 2X

X^3 + 2X^2

X^3 + X^2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When dividing F(x) = X^2 by G(x) = X + 2, what value of X is not allowed?

X = 1

X = -2

X = 2

X = 0

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the next video in the series?

Adding functions

Subtracting functions

Composition of functions

Multiplying functions