Find Slope Over a Given Interval

Given a function, f(x), if f'(x)<0 over a certain interval, then f(x) is ____________ over that interval.

• decreasing

• increasing

• concave up

• concave down

Tags

CCSS.HSF.IF.B.4

If given f'(x) how would you find the intervals which the graph f(x) has a positive slope?

• f'(x) < 0 (negative)

• f'(x) > 0 (positive)

• f'(x) is increasing

• Can't be determined

What do we know about the slope for increasing functions?

• The slope is positive

• The slope is negative

• There is zero slope

Tags

CCSS.8.EE.B.5

Average Rate of Change is also known as...

• y-intercept

• x-intercept

• linear

• slope

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which of the following intervals has the largest average rate of change?

• [13,14]

• [13, 17]

• [16, 17]

• [16, 19]

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• 0.4 feet per second

• 5 feet per second

• 0.2 feet per second

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

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

• 2 inches per year

• 8 inches per year

• 2 years

• 4 inches per year

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6