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Pre Cal SLO

Total questions: 25

Worksheet time: 2hrs 5mins

Name
Class
Date
1.

How the graph of y=23xy=\frac{2}{3}\left|x\right| different from the graph of y=xy=\left|x\right| ?

a)
Vertical Shrink
b)
Horizontal Shift Left
c)
Horizontal Shift Right
d)
Vertical Shift Up
e)
Vertical Shift Down
2.

How the graph of y=(x3)4y=\left(x-3\right)^4 different from the graph of y=x4y=x^4 ?

a)
Horizontal Shift Right
b)
Horizontal Shift Left
c)
Vertical Shift Up
d)
Vertical Shift Down
e)
Vertical Stretch
3.

How the graph of y=4x2y=4^x-2 different from the graph of y=4xy=4^x ?

a)
Vertical Shift Down
b)
Horizontal Shift Left
c)
Horizontal Shift Right
d)
Vertical Shift Up
e)
Vertical Stretch
4.

How the graph of y=xy=-\sqrt[]{x} different from the graph of y=xy=\sqrt[]{x} ?

a)
Reflection Across x-axis
b)
Horizontal Shift Left
c)
Horizontal Shift Right
d)
Vertical Shift Up
e)
Vertical Shift Down
5.
Choose the equation a transformed exponential parent function given the graph.
a)
A
b)
B
c)
C
d)
D
6.
Use the table to identify the key features. Assume the table models a function that is continuous over the domain and the domain is [-4,2]. Identify the x-intercept(s) of the function.
a)
(-3,0)
b)
(-3,0) and (0,-5)
c)
(-3,0, and (1,0)
d)
(0,-5)
e)
None
7.
Use the table to identify the key features. Assume the table models a function that is continuous over the domain and the domain is [-4,2]. Identify the y-intercept(s) of the function.
a)
(-3,0)
b)
(-3,0) and (0,-5)
c)
(-3,0, and (1,0)
d)
(0,-5)
e)
None
8.
Use the table to identify the key features. Assume the table models a function that is continuous over the domain and the domain is [-4,2]. Identify the value of the absolute minimum of the function.
a)
None
b)
0
c)
-5
d)
-10
9.
Use the table to identify the key features. Assume the table models a function that is continuous over the domain and the domain is [-4,2]. Identify the value of the relative maximum of the function.
a)
None
b)
0
c)
-5
d)
5
10.
Describe the domain of the graph below using interval notation.
a)

(,)\left(-\infty,\infty\right)

b)


(3, )\left(-3,\ \infty\right)

c)


[3,)\left[-3,\infty\right)

d)

(0,)\left(0,\infty\right)

e)


[0,)\left[0,\infty\right)

11.
Use the graph to identify the key features. Identify the zero(s).
a)
-2
b)
-2, 2
c)
2
d)
None
12.
Use the graph to identify the key features. Identify the y-intercept(s).
a)
(-2,0)
b)
(0,-2)
c)
(2,0)
d)
None
13.
Use the graph to identify the key features. Identify the absolute maximum.
a)
None
b)
-2
c)
1
d)

-\infty

14.
Use the graph to identify the key features. Identify the interval(s) where the function is negative.
a)

(,)(-\infty,\infty)

b)

(,2)(-\infty,2)

c)

(2,)(2,\infty)

d)
None
15.
Use the graph of a radical function to identify the key features. Identify the relative maximum.
a)
2
b)
0
c)
4
d)
None
16.
Use the graph of a radical function to identify the key features. Identify the end behavior.
a)
A
b)
B
c)
C
d)
D
17.
Use the graph of a radical function to identify the key features. Identify the interval(s) where the function is decreasing.
a)
None
b)

(,)(-\infty,\infty)

c)

(2,)(2,\infty)

d)

(0,)(0,\infty)

18.
Use the graph of a radical function to identify the key features. Identify the range.
a)

(,2](-\infty,2]

b)

(,2)(-\infty,2)

c)

(,)(-\infty,\infty)

d)

[0,)[0,\infty)

19.
Use the graph of an exponential equation to identify the key features. Identify the horizontal asymptote.
a)
y=-1
b)
x=-1
c)
y=1
d)
None
20.
Use the graph of an exponential equation to identify the key features. Identify the domain.
a)

(,1](-\infty,-1]

b)

(1,)(-1,\infty)

c)

(,1)(-\infty,1)

d)

(,)(-\infty,\infty)

21.
Use the graph of an exponential equation to identify the key features. Identify the end behavior.
a)
A
b)
B
c)
C
d)
D
22.
Use the graph of a logarithmic function to identify the key features. Identify the domain.
a)

(,)(-\infty,\infty)

b)

(1,)(1,\infty)

c)

[1,)[1,\infty)

d)
None
23.
Use the graph of a logarithmic function to identify the key features. Identify the interval(s) where the function is negative.
a)
None
b)

(10,)(10,\infty)

c)

(,10)(-\infty,10)

d)
(1,10)
24.
Use the graph of a logarithmic function to identify the key features. Identify the y-intercept(s).
a)
(0,0)
b)
(10,0)
c)

-\infty

d)
None
25.
Use the graph of a logarithmic function to identify the key features. Identify the end behavior.
a)
A
b)
B
c)
C
d)
D