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Understanding Function Properties

Understanding Function Properties

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSF.IF.A.2, 7.EE.B.4A, HSF.IF.A.1

+2

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSF.IF.A.2
,
CCSS.7.EE.B.4A
,
CCSS.HSF.IF.A.1
CCSS.6.NS.C.7A
,
CCSS.6.NS.C.7B
,
The video tutorial explains how to define a function f(x) = ax^3 + b, where a and b are constants. It uses given conditions f(0) = 2 and f(2) = 3 to determine the values of a and b. The tutorial demonstrates solving for b as 2 and a as 1/8, and verifies that a > 0, b > 0, and a < b are true.

Read more

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of the function f(x) as defined in the video?

f(x) = ax + b

f(x) = ax^3 + b

f(x) = ax^3 + bx

f(x) = ax^2 + b

Tags

CCSS.HSF.IF.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If f(0) = 2, what does this tell us about the constant b?

b = 3

b = 2

b = 1

b = 0

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(0) in terms of a and b?

0

a + b

b

a

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is formed when substituting f(2) = 3 into the function?

8a + 2 = 3

2a + b = 3

8a + b = 3

4a + b = 3

Tags

CCSS.7.EE.B.4A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve for a when given the equation 8a + 2 = 3?

Multiply both sides by 8, then subtract 2

Add 2 to both sides, then divide by 8

Divide both sides by 8, then add 2

Subtract 2 from both sides, then divide by 8

Tags

CCSS.7.EE.B.4A

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of a after solving the equation 8a + 2 = 3?

1

1/8

1/2

1/4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is true about the constants a and b?

a is greater than b

a is greater than zero

a is less than b

a is equal to b

Tags

CCSS.6.NS.C.7A

CCSS.6.NS.C.7B

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