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Unit 1 Review (ALG2)

Total questions: 20

Worksheet time: 56mins

Name
Class
Date
1.

Describe the end behavior of the graph.

a)

As x → ∞, f(x) → ∞ and

As x → -∞, f(x) → -∞

b)

As x → ∞, f(x) → ∞ and

As x → -∞, f(x) →∞

c)

None of these

d)

As x →∞,f(x) → -∞ and

As x → -∞, f(x) → -∞

2.
What is the range of this function?
a)
x ≥ 2
b)
f(x) ≥ 2
c)
All Real Numbers
d)
f(x) ≤ 2
3.

What is the range of the function?

a)

 {y ∥ 1≤y≤5}\left\{y\ \parallel\ 1\le y\le5\right\}  

b)

 {y ∥ 1<y≤4}\left\{y\ \parallel\ 1<y\le4\right\}  

c)

 {y ∥ 1≤y≤4}\left\{y\ \parallel\ 1\le y\le4\right\}  

d)

 {y ∥ 1<y<5}\left\{y\ \parallel\ 1<y<5\right\}  

4.

What is the RANGE of the function in interval notation?

(a)  

5.

Which of the following intervals is in set notation?

a)

{x ∥ 1.7<x≤45}\left\{x\ \parallel\ 1.7<x\le45\right\}

b)

(1.7,45]

c)

1.7<x≤451.7<x\le45

6.

Describe the end behavior of the graph.

a)

As x → -∞, f(x) → ∞ and As x→∞, f(x) →⁻∞

b)

As x → -∞, f(x) → ∞ and As x→∞, f(x) →∞

c)

As x → -∞, f(x) → ∞ and As x→∞, f(x) → 0

d)

As x → -∞,f(x) → -∞ and As x→ ∞, f(x) → ∞

7.
The function shown in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
8.
The function in the graph is:
a)
even
b)
odd
c)
neither even nor odd
d)
both even and odd
9.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
10.
Was the inverse function found correctly?
a)
no,
b)
yes
11.
The inverse has been reflected over which line?
a)
y = x
b)
y =1
c)
y = 0
d)
y = x + 1
12.
If the equation of f(x) goes through (1, 4) and (4, 6), what points does f-1(x) go through?
a)
(1, 4) and (4, 6)
b)
(-4, -1) and (-6, -4)
c)
(-1, -4) and (-4, -6)
d)
(4, 1) and (6, 4)
13.
Given f(x) = (x-3)2 + 5.  What transformations took place from the original function f(x)?
a)
Left 3 and up 5
b)
Right 3 and down 5
c)
Left 3 and down 5
d)
Right 3 and up 5
14.
Which function shows horizontal translation and a vertical stretch?
a)
f(x) = -2|-x | 
b)
f(x) = -3|x| - 7
c)
f(x) = -|-x + 1| + 4
d)
f(x) = 5|x - 4| - 1
15.

Which function is graphed? (b=1)

a)

f(x) = -|2(x - 3)| + 5

b)

f(x) = -|x + 5| - 3

c)

f(x) = -2|x + 3| + 5

d)

f(x) = -2|x + 5| - 3

16.
Solve for x
l 2x−1 l = 9
a)
x = 5 and x =-4
b)
x = 5 and x = -5
c)
Only x = 5
d)
No Solution
17.

Solve for x

3 l 4x−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

18.

Solve: |x+5| < 9

a)

-14 < x < 4

b)

x > -14 or x < 4

c)

-4 < x < 4

d)

x > -4 or x < 14

19.

Solve: 10 < |2x + 4|

a)

-7 < x < 3

b)

-3 < x < 3

c)

x < -3 or x > 3

d)

x < -7 or x > 3

20.
Solve.
3|2d + 9| + 13 = 10
a)
d = 5 or d = -1
b)
d = -4 or d = 5 
c)
d = 4 or d = -5
d)
no solution