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Unit 1 – Linear, Polynomial, and Rational Functions

Total questions: 136

Worksheet time: 5hrs 25mins

Name
Class
Date
1.
Identify the slope and y-intercept of:
y = 1/5x + 5
a)
slope: 1/6   y-intercept:  4 
b)
slope: 1/5   y-intercept:  5 
c)
slope: 5/1   y-intercept:  5 
d)
slope: 1   y-intercept:  5 
2.
Identify the slope and y-intercept of:
y = 3 -x
a)
slope:-1   y-intercept:  3
b)
slope: 1/5   y-intercept:  5 
c)
slope: 1    y-intercept:  -3
d)
slope: -1   y-intercept:  -3
3.
Write a rule:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y = 50 + 12 x
c)
y = 62 x
d)
x = 50 + 12y
4.
Write a rule :  Miles has joined a weight loss program.  His weight is 225 lbs and he is losing weight at a rate of 3 lbs per week.
a)
y = 222 x
b)
y = 225 + 3 x
c)
y = 225 - 3x
d)
y=225x - 3
5.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
6.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
7.
What is the definition of a function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
8.
Which statement is true?
a)
A vertical line has a slope of zero.
b)
A line that contains points in Quadrant I and Quadrant III must have a negative slope.
c)
A line that rises as you move to the right along the line has a positive slope.
d)
A horizontal line has no slope.
9.
Which of the following is NOT a function?
a)
y = 4
b)
x = 3
c)
y=2x
d)
y=x
10.
Which of the following has a y-intercept of 3?
a)
y = 3x +2
b)
x=3
c)
y=2x+3
d)
y=x
11.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
12.
Write an equation of a line that passes through the point (-9,2) and is perpendicular to the line y = 3x - 12
a)
y = (-1/3)x - 1
b)
y = (1/3)x - 2
c)
y = -3x + 12
d)
y = 3x - 1
13.
Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9
a)
y = -2x - 24
b)
y = -2x + 12
c)
y = -2x  + 24
d)
y = (1/2)x - 12
14.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
15.
A line is perpendicular to  
y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
16.
What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).
a)
y = -3x + 10
b)
y= 1/3x +10
c)
y = -1/3x +10
d)
y = 3x -15
17.
Write an equation that is parallel to the line
y = x - 5 through (1, -2)
a)
y = -3x +1
b)
y = x - 3
c)
y = x + 1
d)
y = 3x +1 
18.
Write an equation of a line perpendicular to
y = 2/7x - 5 through (2, -3)
a)
y = -7/2x + 4
b)
y = -4x - 7/2
c)
y = 4x - 7/2
d)
y = 7/2x + 4
19.
Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)
a)
y = 2/3x +3
b)
y = -1/3x + 3
c)
y = 1/3x + 3
d)
y = -5/3x + 3
20.
Write an equation for a line parallel to
y = 5/4x + 4 through (-4, -3)
a)
y = 5/4x +2
b)
y = -5/4x + 2
c)
y = 2x - 5/4
d)
y = 3/4x + 2
21.
What is the range of the function shown?
a)
{10, 19, 26}
b)
{-3, 0, 4}
c)
{-3, 0, 4, 10, 19, 26}
d)
{0, 16}
22.
What is the range of the function f(x)= x2 + 2 when the domain
is {-1, 0 , 1}?
a)
{1, 2, 3}
b)
{2, 3}
c)
{0, 2, 4}
d)
{1, 3}
23.
What is the domain of the function graphed?
a)
x < 5
b)
x ≥ 1
c)
x > 0
d)
All real numbers
24.
Which of the inequalities below best describes the domain of the function shown on the graph?
a)
-2 ≤ x ≤ 2
b)
-5 ≤ x ≤ -3
c)
-2 ≤ x ≤ 3
d)
-5 ≤ x ≤ 3
25.
Given the function f(x) = 4x2 - 5, what is the range?
a)
All real numbers greater than or equal to -5
b)
All real numbers
c)
All real numbers greater than or equal to 5
d)
All real numbers less than or equal to -5
26.
A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?
a)
0≤ x ≤ 7
b)
0≤ x ≤ 8
c)
0≤ y ≤ 7
d)
0≤ y ≤ 8
27.
The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?
a)
{-7, -1, -8}
b)
{-3, 6}
c)
{-3, 3, 6}
d)
All real numbers
28.
What is the range of the function graphed?
a)
-3 < x ≤ 6
b)
-3 < y ≤ 6
c)
2 < y ≤ 6
d)
2 < x ≤ 6
29.
Before a bowler rolls her first ball, 10 pins are standing. The number of pins that will be left standing, y, is a function of the number of pins she knocks down. What is the range of the function?
a)
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
b)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
c)
y ≤ 10
d)
0 ≤ y ≤ 10
30.
What is the domain of the graph?
a)
{-4, 0, 2, 4}
b)
{-5, -4, -3, -1}
c)
{-5, -4, -3, -1, 0, 2, 4}
d)
All real numbers
31.
What is g(7) if:
a)
-17
b)
-13 
c)
13       
d)
17
32.
What is f(-2)?
a)
4
b)
1
c)
1
d)
DNE
33.

What is the RANGE of the function?

a)

All Real Numbers

b)

y ≤ 4

c)

y < 4

d)

0 < y < 4

34.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

35.

Evaluate f(0)

a)

0

b)

19

c)

9

d)

-19

36.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

37.
What is m(-3) if:    
a)
-3
b)
0.5
c)
3
d)
-3.5
38.

What is the DOMAIN of the function?

a)

All Real Numbers

b)

x ≤ 4

c)

x > 4

d)

0 ≤ x ≤ 4

39.
Which piecewise function corresponds to this graph? (Take your time)
a)
f(x) = { x  if x < 4;   -x+1  if x ≥ 4
b)
f(x) = { x  if x ≤ 4;  -x+1  if x > 4
c)
f(x) = { -x+1  if x < 4;  x  if x ≥ 4
d)
f(x) = { -x+1  if x ≤ 4;  x if x > 4
40.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

41.

What is the y-intercept of this parabola?

a)

(6, 0)

b)

(-2, 0)

c)

(-4, -2)

d)

(0, 6)

42.

What is the axis of symmetry of this parabola?

a)

-4

b)

x = -4

c)

x = -2

d)

y = -4

43.

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x2. Write a rule for g.

a)

g(x) = (x - 4)2 - 2

b)

g(x) = (x + 4)2 - 2

c)

g(x) = (x - 4)2 + 2

d)

g(x) = (x + 4)2 + 2

44.

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x2. Write a rule for g.

a)

g(x) = -(x - 7)2

b)

g(x) = (x - 7)2

c)

g(x) = -(x + 7)2

d)

g(x) = (x + 7)2

45.

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)2 - 8. Write a rule for g.

a)

g(x) = (x - 4)2 + 4

b)

g(x) = (x + 10)2 + 4

c)

g(x) = (x - 4)2 - 20

d)

g(x) = (x + 10)2 - 20

46.

Identify the function graphed here.

a)

f(x)=(x+4)22f\left(x\right)=\left(x+4\right)^2-2  

b)

f(x)=(x4)22f\left(x\right)=\left(x-4\right)^2-2  

c)

f(x)=(x+4)22f\left(x\right)=-\left(x+4\right)^2-2  

d)

f(x)=(x4)22f\left(x\right)=-\left(x-4\right)^2-2  

47.

Identify the function graphed here.

a)

f(x)=(x3)2f\left(x\right)=\left(x-3\right)^2  

b)

f(x)=(x3)2f\left(x\right)=-\left(x-3\right)^2  

c)

f(x)=x2+3f\left(x\right)=-x^2+3  

d)

f(x)=(x+3)2f\left(x\right)=\left(x+3\right)^2  

48.

Which of the following is a quadratic function that has a vertex at (2, -7) and opens up?

a)

f(x)=(x+2)27f\left(x\right)=\left(x+2\right)^2-7  

b)

f(x)=(x+2)27f\left(x\right)=-\left(x+2\right)^2-7  

c)

f(x)=(x2)27f\left(x\right)=-\left(x-2\right)^2-7  

d)

f(x)=(x2)27f\left(x\right)=\left(x-2\right)^2-7  

49.

Which of the following is a quadratic function that has a vertex at (0, 10) and opens down?

a)

f(x)=x2+10f\left(x\right)=-x^2+10  

b)

f(x)=(x10)2f\left(x\right)=-\left(x-10\right)^2  

c)

f(x)=x2+10f\left(x\right)=x^2+10  

d)

f(x)=(x+10)2f\left(x\right)=\left(x+10\right)^2  

50.

Which of these Thanksgiving foods is your favorite?

a)

Turkey

b)

Stuffing

c)

Pumpkin Pie

d)

Mashed potatoes

e)

Other

51.

The height of a rocket, at selected times, is shown in the table above.


Based on these data, which statement is not a valid conclusion?

a)

The rocket was launched from a height of 180 feet.

b)

The maximum height of the rocket occurred 3 seconds after launch.

c)

The rocket was in the air approximately 6 seconds before hitting the ground.

d)

The rocket was above 300 feet for approximately 2 seconds.

52.

Morgan throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t) = −16t2 + 24t, where t represents the time, in seconds, since the ball was thrown. What is the appropriate domain for this situation?

a)

0t1.50\le t\le1.5

b)

0t90\le t\le9

c)

0h(t)1.50\le h\left(t\right)\le1.5

d)

0h(t)90\le h\left(t\right)\le9

53.

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.


For which interval is the ball's height always decreasing?

a)

0x2.50\le x\le2.5

b)

0<x<5.50<x<5.5

c)

2.5<x<5.52.5<x<5.5

d)

x2x\ge2

54.

An archer shoots an arrow into the air such that its height at any time, t, is given by the function h(t) = -16t2 + kt + 3. If the maximum height of the arrow occurs at time t = 4, what is the value of k?

a)

128

b)

64

c)

8

d)

4

55.

The expression -4.9t2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. The initial height of the rocket, in meters, is

a)

0

b)

2

c)

4.9

d)

50

56.

A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation h = −4.9t2 + 68.6t.


What would be the maximum height, to the nearest meter, attained by the model?

a)

243

b)

242

c)

241

d)

240

57.

The height, y, of a ball tossed into the air can be represented by the equation

y = −x2 + 10x + 3, where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

a)

y = 5

b)

y = -5

c)

x = 5

d)

x = -5

58.

A ball is thrown straight up at an initial velocity of 54 feet per second. The height of the ball t seconds after it is thrown is given by the formula h(t) = 54t − 12t2 .


How many seconds after the ball is thrown will it return to the ground?

a)

9.2

b)

6

c)

4.5

d)

4

59.

The height of a swimmer’s dive off a 10-foot platform into a diving pool is modeled by the equation

y = 2x2 − 12x + 10, where x represents the number of seconds since the swimmer left the diving board and y represents the number of feet above or below the water’s surface.


What is the farthest depth below the water’s surface that the swimmer will reach?

a)

6 feet

b)

8 feet

c)

10 feet

d)

12 feet

60.

The height of a ball Doreen tossed into the air can be modeled by the function h(x) = −4.9x2 + 6x + 5, where x is the time elapsed in seconds, and h(x) is the height in meters. The number 5 in the function represents

a)

the initial height of the ball

b)

the time at which the ball reaches the ground

c)

the time at which the ball was at its highest point

d)

the maximum height the ball attained when thrown in the air

61.
What is the equation in factored form of this graph?
a)
f(x) = (x-4)(x-1)2(x+2)(x+4)
b)
f(x) = (x-4)(x+1)2(x+2)(x+4)
c)
f(x) = (x-4)(x-1)2(x-2)(x+4)
d)
f(x) = (x+4)(x+1)2(x-2)(x-4)
62.
Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
a)
3, √5 
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
63.
Find a polynomial function of degree 3 with zeros 3i and -2.
a)
P(x) = x3+2x2+9x+11
b)
P(x) = x3-2x2+9x+18
c)
P(x) = x3+2x2+9x+18
d)
P(x) = x2-3ix+2x-6i
64.
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
65.
Identify the zeros:
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
66.
True or False:  If (7x + 4) is a factor of some polynomial function f, then 4/7  is a zero of the function. 
a)
True
b)
False
67.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
68.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
a)
-8.14 and -6.14
b)
4.07 and 3.07
c)
3.85 and 0.65
d)
ZERO solutions
69.
Find the vertex of 
f(x) = -x- 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
70.
Simplify
(3 + i)(1 - 4i)
a)
7 - 11i
b)
3 - 4i
c)
3 - 11i - 4i2
d)
2 - 3i
71.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8
a)
±1, ±8
b)
±1, ±2, ±4, ±8
c)
±1, ±2, ±4
d)
1, 2, 4, 8
72.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7
a)
±1, ±7, ±1/3, ±7/3
b)
±1, 7
c)
±1, ±3, ±7, ±7/3
d)
±1, ±3, ±7, ±1/3, ±7/3
73.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5
a)
±1, ±5, ±1/2, ±5/2
b)
±1, ±2, ±5, ±1/2, ±5/2
c)
±1, ±5
d)
±1, ±2, ±5, ±1/2, ±5/2, ±2/5
74.
Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0
a)
-1, 1, 3
b)
-1, 3/2, 3 
c)
-1/2, 3, 3
d)
-1/2, 1, 3
75.
Solve by using Rational Root Theorem: 
x3 - 7x - 6 = 0
a)
1, 2, 3
b)
-1, -2, - 3
c)
-1, -2, 3
d)
1,-2,-3
76.

(5p2+5p-26)÷(p+3)

a)

5p-10, R 4

b)

5p-12, R 1

c)

5p-13, R 8

d)

5p-10, R 5

77.
Is this division problem worked correctly?
a)
This is correct!
b)
This is incorrect!
78.

3x3 + 5x - 1 ÷ x + 1

a)

3x3 - 3x2 + 8x - 9

b)

3x2 - 3x + 8 - 9/x+1

c)

3x2 + 3x + 8 + 7/x+1

d)

3x3 + 3x2 + 8x + 7

79.

Which?

a)
b)
c)
d)
80.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
81.
How many zeros does the polynomial function
 P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
82.
How many zeros does the polynomial function
 P(x) = 2x - 6x- 8 have?
a)
1
b)
2
c)
3
d)
4
83.
How many real zeros exist for the polynomial?
a)
2
b)
1
c)
4
d)
None
84.

Find all rational zeros of the following polynomial

f(x) = x3-5x2-2x+24

a)

-2,1,0

b)

-2,-3,-4

c)

4,3,-2

d)

0,0,0

85.
Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i
a)
-7+5i
b)
7-5i
c)
-7-5i
d)
7+5i
86.
Given one complex zero use the conjugate root theorem to find another.  Zero is: -12-8i
a)
12+8i
b)
-12+8i
c)
12-8i
d)
-12-8i
87.
Write a polynomial function of least degree with the given zeros.
a)
A
b)
B
c)
C
d)
D
88.
Write a polynomial function of least degree with the given zeros.
a)
A
b)
B
c)
C
d)
D
89.
Write a polynomial function of least degree with the given zeros.
a)
A
b)
B
c)
C
d)
D
90.

Select all the information that applies to the given rational function.

a)

V.A. at x = -3 and x = 1

b)

Hole at (1, 0)

c)

H.A. at y = 2

d)

x-intercepts at (3,0) and (1, 0)

91.

Select all the information that applies to the given rational function.

a)

V.A. at x = 1

b)

No Holes

c)

H.A. at y = 0

d)

y-intercept at (0, 1/2)

92.

Select all the information that applies to the given rational function.

a)

V.A. at x = -1

b)

No Holes

c)

H.A. at y = -1/4

d)

x-intercepts at (0,0) and (-1,0)

93.

Select all the information that applies to the given rational function.

a)

V.A. at x = 2

b)

No Holes

c)

H.A. at y = -1/3

d)

y-intercepts at (0, 1/2)

94.

Select all the information that applies to the given rational function.

a)

No V.A.

b)

No Holes

c)

O.A. at y = x-3

d)

no x-intercepts or y-intercepts

95.

Select all the information that applies to the given rational function.

a)

V.A. at x = 3 and x = -1

b)

No Holes

c)

0.A. at y = x + 5

d)

y-intercept at (0,0)

96.

Graph the function.

a)
b)
c)
d)
97.

Graph the function.

a)
b)
c)
d)
98.

Select all the information that applies to the given rational function.

a)

V.A. at x = -3 and x = 1

b)

Hole at (1, 0)

c)

H.A. at y = 2

d)

x-intercepts at (3,0) and (1, 0)

99.

Select all the information that applies to the given rational function.

a)

V.A. at x = 1

b)

No Holes

c)

H.A. at y = 0

d)

y-intercept at (0, 1/2)

100.

Select all the information that applies to the given rational function.

a)

V.A. at x = -1

b)

No Holes

c)

H.A. at y = -1/4

d)

x-intercepts at (0,0) and (-1,0)

101.

Select all the information that applies to the given rational function.

a)

V.A. at x = 2

b)

No Holes

c)

H.A. at y = -1/3

d)

y-intercepts at (0, 1/2)

102.

Select all the information that applies to the given rational function.

a)

No V.A.

b)

No Holes

c)

O.A. at y = x-3

d)

no x-intercepts or y-intercepts

103.

Select all the information that applies to the given rational function.

a)

V.A. at x = 3 and x = -1

b)

No Holes

c)

0.A. at y = x + 5

d)

y-intercept at (0,0)

104.

Graph the function.

a)
b)
c)
d)
105.

Graph the function.

a)
b)
c)
d)
106.

Graph the function.

a)
b)
c)
d)
107.

Graph the function.

a)
b)
c)
d)
108.

Select all the information that applies to the given rational function.

a)

V.A. at x = -3 and x = 1

b)

Hole at (1, 0)

c)

H.A. at y = 2

d)

x-intercepts at (3,0) and (1, 0)

109.

Select all the information that applies to the given rational function.

a)

V.A. at x = 1

b)

No Holes

c)

H.A. at y = 0

d)

y-intercept at (0, 1/2)

110.

Select all the information that applies to the given rational function.

a)

V.A. at x = -1

b)

No Holes

c)

H.A. at y = -1/4

d)

x-intercepts at (0,0) and (-1,0)

111.

Select all the information that applies to the given rational function.

a)

V.A. at x = 2

b)

No Holes

c)

H.A. at y = -1/3

d)

y-intercepts at (0, 1/2)

112.

Select all the information that applies to the given rational function.

a)

No V.A.

b)

No Holes

c)

O.A. at y = x-3

d)

no x-intercepts or y-intercepts

113.

Select all the information that applies to the given rational function.

a)

V.A. at x = 3 and x = -1

b)

No Holes

c)

0.A. at y = x + 5

d)

y-intercept at (0,0)

114.

Graph the function.

a)
b)
c)
d)
115.

Graph the function.

a)
b)
c)
d)
116.

Graph the function.

a)
b)
c)
d)
117.

Select all the information that applies to the given rational function.

a)

V.A. at x = -3 and x = 1

b)

Hole at (1, 0)

c)

H.A. at y = 2

d)

x-intercepts at (3,0) and (1, 0)

118.

Select all the information that applies to the given rational function.

a)

V.A. at x = 1

b)

No Holes

c)

H.A. at y = 0

d)

y-intercept at (0, 1/2)

119.

Select all the information that applies to the given rational function.

a)

V.A. at x = -1

b)

No Holes

c)

H.A. at y = -1/4

d)

x-intercepts at (0,0) and (-1,0)

120.

Select all the information that applies to the given rational function.

a)

V.A. at x = 2

b)

No Holes

c)

H.A. at y = -1/3

d)

y-intercepts at (0, 1/2)

121.

Select all the information that applies to the given rational function.

a)

No V.A.

b)

No Holes

c)

O.A. at y = x-3

d)

no x-intercepts or y-intercepts

122.

Select all the information that applies to the given rational function.

a)

V.A. at x = 3 and x = -1

b)

No Holes

c)

0.A. at y = x + 5

d)

y-intercept at (0,0)

123.

Graph the function.

a)
b)
c)
d)
124.

Graph the function.

a)
b)
c)
d)
125.

Graph the function.

a)
b)
c)
d)
126.

Graph the function.

a)
b)
c)
d)
127.

Select all the information that applies to the given rational function.

a)

V.A. at x = -3 and x = 1

b)

Hole at (1, 0)

c)

H.A. at y = 2

d)

x-intercepts at (3,0) and (1, 0)

128.

Select all the information that applies to the given rational function.

a)

V.A. at x = 1

b)

No Holes

c)

H.A. at y = 0

d)

y-intercept at (0, 1/2)

129.

Select all the information that applies to the given rational function.

a)

V.A. at x = -1

b)

No Holes

c)

H.A. at y = -1/4

d)

x-intercepts at (0,0) and (-1,0)

130.

Select all the information that applies to the given rational function.

a)

V.A. at x = 2

b)

No Holes

c)

H.A. at y = -1/3

d)

y-intercepts at (0, 1/2)

131.

Select all the information that applies to the given rational function.

a)

No V.A.

b)

No Holes

c)

O.A. at y = x-3

d)

no x-intercepts or y-intercepts

132.

Select all the information that applies to the given rational function.

a)

V.A. at x = 3 and x = -1

b)

No Holes

c)

0.A. at y = x + 5

d)

y-intercept at (0,0)

133.

Graph the function.

a)
b)
c)
d)
134.

Graph the function.

a)
b)
c)
d)
135.

Graph the function.

a)
b)
c)
d)
136.

Graph the function.

a)
b)
c)
d)