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Exploring Operations with Functions and Compositions

Exploring Operations with Functions and Compositions

Assessment

Interactive Video

•

Mathematics

•

8th - 12th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF-BF.A.1C, HSF-BF.A.1B, HSF.IF.A.2

+1

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.HSF-BF.A.1C
,
CCSS.HSF-BF.A.1B
,
CCSS.HSF.IF.A.2
CCSS.HSA.APR.A.1
,
Professor Dave explains how to work with functions, starting with basic evaluation and moving to more complex operations like algebraic substitution, function operations (addition, subtraction, multiplication, division), and composite functions. The video also covers advanced manipulations and checks comprehension of these concepts.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If F of X equals 2X + 1, what is F of X + 3?

2X + 5

2X + 6

2X + 7

2X + 4

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given F of X = 2X + 1 and G of X = X - 5, what is F + G of X?

2X - 5

3X - 4

3X - 5

2X - 4

Tags

CCSS.HSF-BF.A.1B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of F minus G of X if F of X = 2X + 1 and G of X = X - 5?

X - 6

X + 6

X + 4

X - 4

Tags

CCSS.HSF-BF.A.1B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the product of F of X and G of X if F of X = 2X + 1 and G of X = X - 5?

2X^2 - 9X - 5

2X^2 - 9X + 5

2X^2 - 10X - 5

2X^2 - 10X + 5

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of F over G of X if F of X = 2X + 1 and G of X = X - 5?

All real numbers except -5

All real numbers except 5

All real numbers except 0

All real numbers

Tags

CCSS.HSF-BF.A.1B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do we denote the composite function F of G of X?

F * G of X

F + G of X

F(G(X))

F - G of X

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If F of X = 2X + 1 and G of X = X - 5, what is F of G of X?

2X - 10

2X - 9

2X - 4

2X - 5

Tags

CCSS.HSF-BF.A.1C

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