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Chapter 6: End Behavior, Piecewise, Transformations

Total questions: 40

Worksheet time: 2hrs 46mins

Name
Class
Date
1.
Which function has this end behavior?
a)
-x2-3x+1
b)
-x3+2x2+3
c)
x4+3x3-4x+1
d)
x5-4x4+2x2-1
2.
Describe the end behavior of the graph.
a)
x →∞, y→∞ and x→∞, y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→0 and x→∞, y→⁻∞
3.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
4.
The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 
a)
Leading Coefficient Positive
Degree - Even
b)
Leading Coefficient Positive
Degree - Odd
c)
Leading Coefficient Negative
Degree - Even
d)
Leading Coefficient Negative
Degree - Odd
5.

Select all true statements about f(x) = 4(.85)x.

a)

f(x) is a polynomial function

b)

f(x) is an exponential function

c)

f(x) is a rational function

d)

f(x) approaches infinity as x approaches negative infinity

e)

f(x) approaches 0 as x approaches negative infinity

6.
What is the range of this function?
a)
(-∞,+∞)
b)
(-4,2]
c)
(-∞,2]
d)
[2,-∞)
7.

What is the range of this function?

a)

(-∞,+∞)

b)

[-3,+∞)

c)

(-∞,3]

d)

(-∞,3)

8.
What is the name of the following function? 
a)
Square Root
b)
Cubic
c)
Linear
d)
Quadratic
9.

Identify the Domain of the graph depicted.

a)

0 ≤ x ≤ 180

b)

0 ≤ y ≤ 180

c)

0 ≤ x ≤ 1500

d)

0 ≤ y ≤ 1500

10.

Find the Domain.

a)

(-∞, +∞)

b)

(0, 11)

c)

[0, ∞)

d)

(0, ∞)

11.
Over what interval is this function constant?
a)
-5 < x < ∞
b)
-3 < x < 4
c)
4 < x < ∞
d)
-5
12.
Find the domain and range of the function:
g(x) = - (x + 3)2 + 1
a)
D: (-∞, ∞)
R: (-∞, 1]
b)
D: (-∞, ∞)
R: [1, ∞)
c)
D: [-3, ∞)
R: (-∞, ∞]
d)
D: [-3, ∞)
R: (-∞, 1]
13.
Find the domain of the function:
h(x) = 5 / (x - 8)
a)
(-∞, 5) U (5,∞)
b)
(-∞, ∞)
c)
(-∞, 8) u (8, ∞)
d)
(-∞, 8] u [8, ∞)
14.
Find the domain and range of the function:
f(x) = 7x - 1
a)
D: (-∞, ∞)
R: (-∞, 0)
b)
D: [-∞, ∞]
R: [-∞, ∞]
c)
D: (-∞, ∞)
R: (0, ∞)
d)
D: (-∞, ∞)
R: (-∞, ∞)
15.

Does this graph have a minimum or maximum? What point?

a)

minimum at (-3, -5)

b)

minimum at (3, 5)

c)

maximum at (-3, -5)

d)

maximum at (3, 5)

16.

State the domain and range using "inequality" notation.

a)

x ≥ -4 and y ≥ 2

b)

x ≥ 4 and y ≥ 2

c)

x > -4 and y > 2

d)

D: [-4, ∞) and R: [2, ∞)

17.

The function shown contains:

a)

Only one local maximum.

b)

Two local maximums.

c)

Two local minimums.

d)

Three local maximums

18.

What is the absolute minimum?

a)

x = 2

b)

x = 1

c)

x = −1

d)

No Absolute Minimum

19.

What is the relative minimum?

a)

(0, 4)

b)

(2, 0)

c)

(0, 2)

d)

(-1, 0)

20.

In the polynomial graph shown,

(-1.8, −4) is a(an)_______.

a)

Absolute maximum

b)

Absolute minimum

c)

Zero

d)

Vertex

21.
Using the pictured graph, what is f(-3)? 
a)
-3
b)
-1
c)
1
d)
3
22.

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

a)

A

b)

B

c)

C

d)

D

23.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
24.
1. What is this type of function called?
a)
Discrete Function 
b)
Segment Function
c)
Step Function
d)
Jump Function
25.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
26.
What are the domain restrictions for the green piece of this function?
a)
-2 < x ≤ 1
b)
-1 < x ≤ 0.5
c)
x > -2
d)
x ≤ 1
27.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.


How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

28.
How much does it cost to rent the Karaoke machine for 3 days?
a)
$50
b)
$100
c)
$150
d)
$175
29.
You have inherited land that was purchased for $30,000 in 1990. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$83,579
b)
$10,217
c)
$14,963,655
d)
$28,500
30.

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t2 +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

a)

2.625

b)

6.25

c)

100

d)

200

e)

210.25

31.

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

a)

A = 120 + 5x

b)

A = 120x + 5

c)

A = -120 + 5x

d)

A = 120 - 5x

32.

What is the y-intercept of the following quadratic function based on the following data?

a)

(-7, 0)

b)

(-3, 0)

c)

(0, -7)

d)

(0, -3)

33.

At a high school track and field meet an athlete was given 3 throws at shot put. At which throw did the shot put travel the furthest distance?

a)

Throw #1

b)

Throw #2

c)

Throw #3

d)

There is not enough information

34.

The graph shows the projectile of a rocket. What does the zero of the graph represent?

a)

The amount of time it took the rocket to land on the ground.

b)

The maximum height of the rocket.

c)

The amount of time it took the rocket to reach its maximum height.

d)

The height of the rocket before it was launched.

35.

Which of the following quadratic equations best represents the following data?

a)

y = 7x2 - 3x

b)

y = 3x2 - 2x + 1

c)

y = 6x2 + 3x - 2

d)

y = 7x2 - 3x + 1

36.
There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven.  If driven 48 miles, it costs $64 to rent a truck.  Find the daily fee.
a)
$40
b)
$53
c)
$37
d)
$42
37.

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.


How much would it cost for 2.5 hours of labor?

a)

$100

b)

4.50

c)

$112.50

d)

$65.00

e)

$123.45

38.
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2011?
a)
$344,022
b)
$31,500
c)
$15,000
d)
$28,500
39.
This table represents what kind of function?
a)
Linear
b)
Exponential Growth
c)
Exponential Decay
d)
Quadratic
40.
During normal breathing, about 12% of the air in the lungs is replaced after one breath. Write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 mL. How much of the original air is present after 240 breaths?
a)
Just about zero mL
b)
60 mL
c)
440 mL
d)
0 mL

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