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Worksheets

REVIEW 1-1,1-2

Total questions: 50

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
Express the following in Interval Notation
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
2.
Express the following interval in Set notation:
(-7, 15]
a)
-7 ≤ x ≤ 15
b)
-7 < x ≤ 15
c)
-7 ≤ x < 15
d)
-7 < x < 15
3.
Look at the graph. Write the inequality in interval notation.
a)
(-2,5)
b)
(-∞,-2)⋃(5,∞)
c)
[-2,5]
d)
(-∞,-2]∪[5,∞)
4.
Write the following in interval notation
x < 3 or x ≥ 5
a)
(3, -∞) or (∞, 5]
b)
[-∞, 3) or [5, ∞]
c)
(-∞, 3) or [5, ∞)
d)
(3, -∞] or [∞, 5]
5.
Write the set of numbers inset-builder notation.
(−∞, 5] or [14, ∞)
a)
{x∣x ≤ 5 or x > 14}
b)
{x∣x ≤ 5 or x ≥ 14}
c)
{x∣x < 5 or x > 14}
d)
{x∣x ≤ 5 or x > 14}
6.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
7.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

8.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

9.
Given h(x) = 5 - 9x, find h(8). 
a)
h(8) = -360
b)
h(8) = -67
10.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
11.

Evaluate the function when x = 4

a)

f(4) = 2(4) - 5 = 3

b)

f(4) = 2(4) - 5 = -1

c)

f(4) = ½(4) + 1 = 3

d)

f(4) = 4

12.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

13.
What is the RANGE?
a)
(-∞, +∞)
b)
(-2, +∞)
c)
[-2, +∞)
d)
(-∞, 0) U (0, +∞)
14.

Given f(x) = 3x+2x1\frac{3x+2}{x-1}  , what is the domain of f(x)?

a)

All real numbers greater than or equal to 1

b)

All real numbers except 1

c)

x = 1

d)

All real numbers

15.

What is the domain of y = x + 2\sqrt{x\ +\ 2}  

a)

All real numbers

b)

All real numbers except 2-2  

c)

All real number greater than or equal to  2-2  

d)

All real numbers greater than  2-2  

16.
f(x) is the same thing as ______.
a)
y
b)
x
c)
input
d)
an equation
17.

Given h(x)=3x22x+8 what is h(0)?Given\ h\left(x\right)=3x^2-2x+8\ what\ is\ h\left(0\right)?  

a)

13

b)

8

c)

16

d)

answer not here

18.

h(n)= n22; Find h(2n)h\left(n\right)=\ n^2-2;\ Find\ h\left(-2n\right)  

a)

4n224n^2-2  

b)

9n229n^2-2  

c)

n22n^2-2  

d)

2+4n+n22+4n+n^2  

19.

f(x)=3x2; Find f(x1)f\left(x\right)=3x-2;\ Find\ f\left(x-1\right)  

a)

3x83x-8  

b)

3x223x^2-2  

c)

2+32x-2+\frac{3}{2}x  

d)

3x53x-5  

20.

k(n)=3n212nk\left(n\right)=3n^2-1-2n  Find k(n+4)k\left(n+4\right)  

a)

3n41 2n3n^4-1\ -2n  

b)

1n+34n2-1-n+\frac{3}{4}n^2  

c)

3n2+22n+393n^2+22n+39  

d)

13n223n1\frac{1}{3}n^2-\frac{2}{3}n-1  

21.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

22.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

23.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

24.

What is the domain?

a)

(, 3]\left(-\infty,\ -3\right]

b)

[3, )\left[3,\ -\infty\right)

c)

(,3]\left(-\infty,3\right]

d)

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

e)

None of the answer choices

25.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
26.

What is the domain?

a)

(,2]\left(\infty,-2\right]

b)

[2, )\left[-2,\ \infty\right)


c)

[-2,3]

d)

(, 2]\left(-\infty,\ -2\right]

e)

None of the answer choices

27.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

28.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

29.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

30.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

31.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

32.

Find f(0)

a)

6

b)

8

c)

10

d)

12

33.

Find f(2)

a)

8

b)

10

c)

12

d)

14

34.
What is another word that describes the zeroes of a quadratic function?  
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
35.

Find one x-intercept for: 5x2 + 31x + 6 = 0

(Plug in to see which value of x makes equation = 0)

a)

x = -1, 6/5

b)

x = 6 , 5

c)

x = -6 , -1/5

d)

x = -6, -5

36.

Solve 2x2 + 17x + 21 = 0

Find the solutions.

a)

x= -7, 3

b)

x=  14,3

c)

x=-7, -3/2

d)

x= -14, 2/3

37.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
38.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
39.

A zero of a function is essentially where the graph of the function intersects the x-axis. (True or False)

a)

True

b)

False

40.

Find the y-intercept.

a)

(0, -2)

b)

(0, 2)

c)

(0, 4)

d)

it is undefined

41.

What is the y-intercept of the graph?

a)

(0,2)\left(0,2\right)  

b)

(2,0)\left(2,0\right)  

c)

(6,0)\left(-6,0\right)  

d)

(0,6)\left(0,-6\right)  

42.

Even, odd, or neither?

a)

Even

b)

Odd

c)

Neither

43.

An even function is symmetric with respect to the...

a)

y-axis

b)

x-axis

c)

origin

44.

An odd function is symmetric with respect to...

a)

the y-axis

b)

the x-axis

c)

the origiin

45.

Determine whether the graph is even, odd or neither

a)

even

b)

odd

c)

neither

46.

Determine whether the graph is even, odd or neither

a)

even

b)

odd

c)

neither

47.

Determine whether the graph is even, odd or neither

a)

even

b)

odd

c)

neither

48.

Determine whether the graph is even, odd or neither

a)

even

b)

odd

c)

neither

49.

Determine whether the graph is even, odd or neither

a)

even

b)

odd

c)

neither

50.

p(x)=2x+3; Find p(2+x)p\left(x\right)=-2x+3;\ Find\ p\left(-2+x\right)  

a)

72x7-2x  

b)

9+2x9+2x  

c)

2x+11-2x+11  

d)

8x+38x+3