Free Printable 1.1 - 1.2 Practice

1.

Find the point(s) of inflection (if it exists) of the graphed function.

a)

No point of inflection

b)

Points K, R, and S.

c)

Points K and S

d)

Points P, Q, K, R, S, and T

e)

Points Q and T

2.

Find the point(s) of inflection (if it exists) of the graphed function.

a)

No point of inflection

b)

Points 3 and 5

c)

Points 1, 3, 5 and 7

d)

Points 1, 2, 3, 4, 5, 6 and 7

e)

Points 2, 4 and 6

3.

Which of the following scenarios would best represent the graph shown?

a)

Jackson ran to try and catch a bus at a stop near his house. He waited two minutes at the stop but realized he had missed the bus. So he slowly walked home.

b)

Wesley walked to the end of his driveway to get the newspaper and then turned to walk back inside at the same constant rate.

c)

Ben walked to a gas station close to his home to get a soda. He talked to some friends at the gas station for a few minutes. His mom called and told him to get home to do his Precal HW. The friend drove Ben back home. Luckily he got home faster in the car than when he walked.

d)

Jenny and her friend took the escalator to the 2nd story of the mall, shopped there for a while, and took the escalator back down.

4.

Which graph matches the given story:

The population size grows somewhat fast at first, and then the rate of growth slows.

a)

None of the graphs pictured match the story.

b)

c)

d)

e)

5.

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

a)

(B, C)

b)

(D, E)

c)

(C, D)

d)

(H, I)

6.

A driver stopped her car for a traffic light. After waiting for the light to turn green, the driver continued on her way.

a)

A

b)

B

c)

C

d)

D

7.

A girl takes a ride on a ferris wheel.

a)

A

b)

B

c)

C

d)

D

8.

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

a)

B

b)

E

c)

G

d)

H

9.

How many extrema (maxes and mins) are in the picture?

a)

2

b)

3

c)

4

d)

5

10.

On what intervals is f(x) increasing?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

11.

What interval is f(x) < 0 ?

a)

(1, 3)

b)

(-∞, -2) U (-0.3, 2.2)

c)

(-2, 1)

d)

(-1, 1)

12.

What do we call the point where concavity changes?

a)

Maximum Point

b)

Minimum Point

c)

Inflection Point

13.

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

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

14.

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

a)

the first hour to the second hour

b)

the second hour to the fourth hour

c)

the sixth hour to the eighth hour

d)

the eighth hour to the tenth hour

15.

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

a)

2

b)

1/2

c)

-2

d)

-1/2

16.

Find the point(s) of inflection (if it exists) of the graphed function.

a)

No point of inflection

b)

Points C, D and E

c)

Points A, C, E and G

d)

Points A, B, C, D, E, F and G

e)

Points B and F

17.

A function that is concave up can be

a)

Increasing at a decreasing rate

b)

Increasing at an increasing rate

c)

Decreasing at a
decreasing rate

d)

Decreasing at an
increasing rate

18.

A function that is concave down can be

a)

Increasing at a decreasing rate

b)

Increasing at an increasing rate

c)

Decreasing at a
decreasing rate

d)

Decreasing at an
increasing rate

19.

The following function is

a)

Increasing at an increasing rate

b)

Increasing at a decreasing rate

c)

Decreasing at an
increasing rate

d)

Decreasing at a
decreasing rate

20.

The following function is

a)

Increasing at an increasing rate

b)

Increasing at a decreasing rate

c)

Decreasing at an
increasing rate

d)

Decreasing at a
decreasing rate

21.

The following function is

a)

Increasing at an increasing rate

b)

Increasing at a decreasing rate

c)

Decreasing at an
increasing rate

d)

Decreasing at a
decreasing rate

22.

What is the average rate of change of y = 2(3)^x at [2, 4]?

a)

72

b)

3

c)

36.8

d)

630

23.

What is the decreasing interval(s) on the function shown?

a)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

b)

$\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

c)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

d)

$\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

24.

On the interval of (0, 2) what is happening?

a)

the graph is decreasing

b)

the graph is increasing

c)

the graph remains constant

25.

Name the interval(s) in which the function is decreasing. Check all that apply.

a)

$\left(-7,\ -4\right)$

b)

$\left(-4,\ -3\right)$

c)

$\left(-1,\ 1\right)$

d)

$\left(0,\ 2\right)$

26.

What is the decreasing interval(s) on the function shown?

a)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)$

b)

$\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)$

c)

$\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)$

d)

$\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)$

27.

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

a)

b)

c)

d)

28.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

29.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

30.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

31.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

32.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

33.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

34.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

35.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

36.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

37.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

38.

Describe the shaded region.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

39.

Name the interval that is BOTH positive AND decreasing for the entire interval.

a)

\left(1,\ 3\right)

b)

$\left(-7,\ -6\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(3,\ 6\right)$

40.

Name the interval that is BOTH negative AND decreasing for the entire interval.

a)

$\left(1,\ 3\right)$

b)

$\left(-7,\ -6\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(3,\ 6\right)$

41.

Name the interval that is BOTH negative AND increasing for the entire interval.

a)

$\left(-6,\ -4\right)$

b)

$\left(-7,\ -6\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(3,\ 6\right)$

42.

Name the interval that is BOTH positive AND increasing for the entire interval.

a)

$\left(-6,\ -4\right)$

b)

$\left(-7,\ -6\right)$

c)

$\left(-1,\ 0\right)$

d)

$\left(3,\ 6\right)$

43.

List the types of intervals that the graph demonstrates in order.

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

44.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

45.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

46.

a)

Decreasing Interval

b)

Increasing Interval

c)

Constant Interval

d)

Positive Interval

e)

Negative Interval

47.

What is f when x equals 4?

a)

-5

b)

0

c)

3

d)

6

48.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

49.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

50.

What is m(4) if:

a)

-3

b)

0.5

c)

0

d)

-3.5

51.

What is f(1)?

a)

6

b)

-2

c)

sqrt(2)

d)

Undefined

52.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

1.1 - 1.2 Practice

Total questions: 52

Worksheet time: 3hrs 32mins

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