Calculating Average Rate of Change in Functions

Calculating Average Rate of Change in Functions

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
8.F.B.4, HSF.IF.A.2, HSF-IF.C.7D

+2

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.8.F.B.4
,
CCSS.HSF.IF.A.2
,
CCSS.HSF-IF.C.7D
CCSS.8.EE.C.7B
,
CCSS.HSF.IF.B.6
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for calculating the average rate of change of a function?

f(b) - f(a) / b - a

f(b) + f(a) / b + a

f(a) - f(b) / a - b

f(a) + f(b) / a + b

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula for the average rate of change, what do 'a' and 'b' represent?

z-values

x-values

y-values

constants

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(1) for the function given in the example?

1

5

0

4

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of f(3) for the function given in the example?

9

16

12

7

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the average rate of change represent in the context of a graph?

The slope of the secant line

The slope of the tangent line

The x-intercept

The y-intercept

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many points does a secant line touch on a graph?

Three

Two

One

Four

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the average rate of change of the function f(x) = x^3 - 4 from x = 2 to x = 5?

39

117

121

125

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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