Average Rate of Change

Front

Average Rate of Change is also known as...

Back

slope

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Find the average rate of change of f(x)=2x^2+3x-1 from 1 to 2.

Back

9

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

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

Back

-0.75

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Find the average rate of change over the interval [0, 4] for the function f(x)=x^2.

Back

4

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If a function has a slope of 2, what does this indicate about its average rate of change?

Back

The average rate of change is 2 units up for every 1 unit right.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Calculate the average rate of change of the function f(x)=3x+1 from x=2 to x=5.

Back

9

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What is the formula for calculating the average rate of change between two points (x1, y1) and (x2, y2)?

Back

(y2 - y1) / (x2 - x1)

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

If the average rate of change of a function is negative, what does this imply about the function's behavior?

Back

The function is decreasing over that interval.

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

Find the average rate of change of Pete's height from 3 years old to 5 years old.

Back

4 inches per year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Front

What does a slope of 0 indicate about a function's average rate of change?

Back

The function is constant over that interval.

Tags

CCSS.8.EE.B.5