AP Precalculus Unit 1 Review

What does the average rate of change in a function represent?

• The function's concavity

• The function's symmetry

• The slope of the function

• The end behavior of the function

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

When is a function considered positive?

• When its y values are below the x-axis

• When its y values are above the x-axis

• When its y values are getting smaller

• When its y values are getting larger

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the point of inflection on a graph?

• Where the slope of the function is zero

• Where the function is neither increasing nor decreasing

• Where the concavity of the function changes

• Where the function crosses the x-axis

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The given graph models Mr. Passwater’s distance from his home over time. Time, in hours, is the independent variable and the distance from home, in miles, is the dependent variable. Which of the following verbal descriptions would be appropriate for the given graph?

• Mr. Passwater leaves school and drives toward his house at a constant rate. Then, he stops to eat at a restaurant for a period of time to eat dinner. After eating dinner, Mr. Passwater leaves and drives until he reaches his house, driving at a constant rate that is faster than the rate he was driving when he first left school.

• Mr. Passwater leaves school and drives toward his house, increasing his speed as he drives. Then, he drives at a constant rate for a period of time. Finally, he increases his speed again and drives until he reaches his home.

• Mr. Passwater leaves his house and drives at a constant rate to a nearby restaurant. After stopping for a period of time to eat lunch, Mr. Passwater drives back to his home at a constant rate that is faster than his rate when driving to the restaurant.

• Mr. Passwater leaves his house and drives to a restaurant at a constant rate. Then, he stops to eat at a restaurant for a period of time to eat breakfast. After eating breakfast, Mr. Passwater leaves and drives until he reaches his school, driving at a constant rate that is faster than the rate he was driving when he first left his house.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Use the graph of f below for this problem. How many points of inflection does the graph of f have?

• 1

• 2

• 3

• 4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

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

• B

• E

• G

• H

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

• (B, C)

• (D, E)

• (C, D)

• (H, I)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the concavity of this graph.

• Concave Up

• Concave Down

• Neither (Linear)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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.6

CCSS.HSS.ID.C.7