Average Rate of Change & Concavity

Use the given function or the graph to find the average rate of change

• 3

• -3

• 3/2

• -1/3

Tags

CCSS.HSF.IF.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.HSF.IF.B.6

CCSS.8.F.B.4

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.HSF.IF.B.4

CCSS.HSF.IF.B.6

Which of the following graphs has the largest average rate of change from -1 to 2?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

The average rate of change is represented graphically as the

• equation of the line passing through two given points.

• slope of the tangent line at a given point.

• y-intercept of the line passing through two given points.

• slope of the secant line passing through two given points.

On Black Monday, October 28, 1929, the stock market

on Wall Street crashed. The Dow Jones average dropped

from 298.94 to 260.64 in one day. What was the relative

change in the index?

• 38.3 points

• 87.19%

• 12.81%

• 14.69%

At which following point does the graph of f(x) appear to be transitioning from concave down to concave up?

• B

• E

• G

• H

Over which interval is the graph of f(x) both decreasing and concave up?

• (B, C)

• (D, E)

• (C, D)

• (H, I)

Determine the concavity of this graph.

• Concave Up

• Concave Down

• Neither (Linear)

Determine the concavity of this graph.

• Concave up

• Concave down

• Neither (linear)