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Unit 3 Pretest Review

Total questions: 15

Worksheet time: 24mins

Name
Class
Date
1.

Q1. The function f(x) is graphed below. What is true about the graph on the interval from d to e?

a)

It is positive and increasing

b)

It is positive and decreasing

c)

It is negative and increasing

d)

It is negative and decreasing

2.

Q2. Graphed below is the function g(x). Which statement correctly represents the x-intercept in function notation?

a)

g(0) = 5

b)

g(5) = 0

c)

g(0) = 0

d)

g(7) = 5

3.

What is the domain of the function?

a)

(, 3)\left(-\infty,\ 3\right)

b)

(3, )\left(3,\ \infty\right)

c)

(, )\left(-\infty,\ \infty\right)

d)

(0, 3)\left(0,\ 3\right)

4.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
5.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
6.
Evaluate the function when x = 6 
a)
f(6) = -5
b)
f(6) = 4
c)
f(6) = 2
d)
f(6) = 7
7.
What is the RANGE of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
8.
What is the DOMAIN of the function?
a)
(-∞, +∞)
b)
(-∞, 4]
c)
(-∞, 4)
d)
[0, 4]
9.

The following function represents the prices you must pay a handyman to work at your house according to the number of hours he works.


Find how much it will cost to have the handyman work for 2 hours.

a)

$40

b)

$75

c)

$45

d)

$65

10.

Here are graphs that represent two function, function f and g.

Which value is greater, f(6) or g(6)?

(a)  

11.

Carrie walked two kilometers to my house, waited for me to finish getting dressed and put my "face" on. We then went to the baseball field at the high school, another 2 km away, and watched the home team, Woodlands Eagles, finish the last hour, 5 quick innings, and win the game for State! I happily walked the whole way home on a cloud of air that we were the champions! (pay close attention to the y-axis as you choose the graph that best matches this story)

a)
b)
c)
d)
12.

The Jonas family drove, pulling their horse-trailer from home onto the feeder road then onto the state highway for 30 minutes at a constantly increasing rate of speed to 20mph. They entered the interstate and continued to increase their speed at a steady rate so as to not alarm the horses in their trailer, to 40 mph over another 15 minutes. They continued going 40 mph for another 15 min until they arrived at the fairgrounds. (pay close attention to the y-axis as you choose the graph that best matches this story)

a)
b)
c)
d)
13.
Add or Subtract to Simplify:
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
a)
-8n2 - 8n + 3 
b)
-7n2 - 8n + 3 
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
14.
(2x + 3)(x2 + 4x + 1)
a)
2x3 + 10x2 + 14x + 4 
b)
2x3 + 11x2 + 14x + 3 
c)
-2x3 - 11x2 + 14x + 5 
d)
x3 - 11x2 + 14x + 3 
15.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2