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Average Rate of Change Interval and Increasing and Decreasing Table

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Used 1+ times

Average Rate of Change Interval and Increasing and Decreasing Table
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20 questions

Show all answers

1.

DROPDOWN QUESTION

1 min • 1 pt

An average rate of change is calculated over an interval and an instantaneous rate of change is calculated at one point.​ (a)  

True

False

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

2.

REORDER QUESTION

1 min • 4 pts

Media Image

Reorder the following from least to greatest by looking at the graph of h(x)h\left(x\right)

Average rate of change on the interval [0, 4]

Instantaneous rate of change at x=2

Average rate of change on the interval [4, 6]

Instantaneous rate of change at x=8

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The graph of a function y=f(x)y=f\left(x\right) is shown. On which of the following interval(s) of x is ff increasing at a decreasing rate?

(−∞,1)\left(-\infty,1\right)

(1,2)\left(1,2\right)

(2,3)\left(2,3\right)

(3,∞)\left(3,\infty\right)

4.

MATCH QUESTION

1 min • 5 pts

Match the following.

concave down

The change in the average rates of change of a linear function is

zero

Rate of change is decreasing

point of inflection

The change in the average rates of change of a quadratic function is

concave up

Rate of change is increasing

constant

Point where the concavity changes; increasing to decreasing or decreasing to increasing

Tags

CCSS.HSF-LE.A.1B

5.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

The average rate of change is ​ ​ (a)  

−9-9  

9

00  

1818  

99  

−19-\frac{1}{9}  

19\frac{1}{9}  

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

Consider the graph. What is the average of change on the interval 2≤x≤52\le x\le5

77

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

Consider the graph. What is the average of change on the interval 2≤x≤52\le x\le5 Formula: y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

77

Mathematical Equivalence

ON

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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