Average rate of change over an interval

9th - 12th Grade

•

12 Qs

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Average rate of change over an interval

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.B.4, HSF.IF.B.6

Standards-aligned

Leslie Marshall

Used 105+ times

FREE Resource

12 questions

Show all answers

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=x^2-x-1;\ \left[-1,2\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=x^2-2x+1;\left[0,3\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=-2x^2+2x-2;\left[-1,1\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=2x^2-x-2;\left[1,2\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=-x^2-x-1;\left[-2,-1\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=-\frac{1}{x};\left[2,3\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

FILL IN THE BLANK QUESTION

5 mins • 1 pt

$f\left(x\right)=\frac{1}{x-1};\left[-4,-3\right]$
Find the average rate of change of the function over the given interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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Average rate of change over an interval

12 questions

$f\left(x\right)=x^2-x-1;\ \left[-1,2\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=x^2-2x+1;\left[0,3\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-2x^2+2x-2;\left[-1,1\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=2x^2-x-2;\left[1,2\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-x^2-x-1;\left[-2,-1\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-\frac{1}{x};\left[2,3\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=\frac{1}{x-1};\left[-4,-3\right]$
Find the average rate of change of the function over the given interval.

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function $d\left(t\right)=0.8t^2$ . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

What is the average rate of change from [1, 5]?

A soccer ball is dropped from the top of a gym. It's height $H$ in feet is given by the function $H=-16T^2+125$ , where $T$ is measured in seconds. Find the average speed of the ball, in feet per second, for the time interval $\left[0.5,\ \ 2.5\right]$ .

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Average rate of change over an interval

12 questions

f(x)=x2−x−1; [−1,2]f\left(x\right)=x^2-x-1;\ \left[-1,2\right]f(x)=x2−x−1; [−1,2] Find the average rate of change of the function over the given interval.

f(x)=x2−2x+1;[0,3]f\left(x\right)=x^2-2x+1;\left[0,3\right]f(x)=x2−2x+1;[0,3] Find the average rate of change of the function over the given interval.

f(x)=−2x2+2x−2;[−1,1]f\left(x\right)=-2x^2+2x-2;\left[-1,1\right]f(x)=−2x2+2x−2;[−1,1] Find the average rate of change of the function over the given interval.

f(x)=2x2−x−2;[1,2]f\left(x\right)=2x^2-x-2;\left[1,2\right]f(x)=2x2−x−2;[1,2] Find the average rate of change of the function over the given interval.

f(x)=−x2−x−1;[−2,−1]f\left(x\right)=-x^2-x-1;\left[-2,-1\right]f(x)=−x2−x−1;[−2,−1] Find the average rate of change of the function over the given interval.

f(x)=−1x;[2,3]f\left(x\right)=-\frac{1}{x};\left[2,3\right]f(x)=−x1​;[2,3] Find the average rate of change of the function over the given interval.

f(x)=1x−1;[−4,−3]f\left(x\right)=\frac{1}{x-1};\left[-4,-3\right]f(x)=x−11​;[−4,−3] Find the average rate of change of the function over the given interval.

What is the average rate of change from [1, 5]?

A soccer ball is dropped from the top of a gym. It's height HHH in feet is given by the function H=−16T2+125H=-16T^2+125H=−16T2+125 , where TTT is measured in seconds. Find the average speed of the ball, in feet per second, for the time interval [0.5, 2.5]\left[0.5,\ \ 2.5\right][0.5, 2.5] .

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Discover more resources for Mathematics

$f\left(x\right)=x^2-x-1;\ \left[-1,2\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=x^2-2x+1;\left[0,3\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-2x^2+2x-2;\left[-1,1\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=2x^2-x-2;\left[1,2\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-x^2-x-1;\left[-2,-1\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=-\frac{1}{x};\left[2,3\right]$
Find the average rate of change of the function over the given interval.

$f\left(x\right)=\frac{1}{x-1};\left[-4,-3\right]$
Find the average rate of change of the function over the given interval.

A soccer ball is dropped from the top of a gym. It's height $H$ in feet is given by the function $H=-16T^2+125$ , where $T$ is measured in seconds. Find the average speed of the ball, in feet per second, for the time interval $\left[0.5,\ \ 2.5\right]$ .