Quiz about Intro to Graphing Rational Functions

Question 1

Graph the function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 2

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

Accepted Answer

No Holes

Accepted Answer

V.A. at x = 2

Accepted Answer

H.A. at y = -1/3

Accepted Answer

y-intercepts at (0, 1/2)

Question 3

Question 3.

Accepted Answer

All Reals Except -3

Answer

All Reals Except 0

Answer

All Reals

Answer

All Reals Except 0 and -3

Question 4

Graph the function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 5

Graph the function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

What are the x-intercepts of the rational expression below.

$$y=\frac{2x^2+7x+3}{x^2+4x+2}$$

Select all that apply.

Accepted Answer

$$(-3,0)$$

Accepted Answer

$$\left(\frac{1}{2},0\right)$$

Answer

$$(0,0)$$

Answer

$$\left(-\frac{1}{2},0\right)$$

Question 7

Which of the following does not have a horizontal asymptote?

Accepted Answer

$$y=\frac{2x^3+7x^2+3x}{x^2+4x+4}$$

Answer

$$y=\frac{x-3}{x^2+x-12}$$

Answer

$$y=\frac{x-4}{2-x}$$

Answer

they all have a horizontal asymptote

Question 8

What are the asymptotes?

Accepted Answer

x = -3 y = 1

Answer

x = 3 y = 1

Answer

x = -3 y = -1

Answer

x = 3 y = -1

Question 9

What are the asymptotes?

Accepted Answer

x = 1 y = 3

Answer

x = -1 y = -3

Answer

x = 1 y = -3

Answer

x = -1 y = 3

Question 10

What is an asymptote?

Accepted Answer

an imaginary line that your function never touches

Answer

a part of your function

Answer

a point on your graph

Answer

a type of fruit

Question 11

Which asymptote(s) are determined by looking at the denominator?

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 12

Which of the following represents the graph below?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 13

What is the domain and range?

Accepted Answer

$$D:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$$

$$R:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$$

Answer

$$D:\ \left(-\infty,1\right)\cup\left(1,\infty\right)$$
$$R:\ \left(-\infty,2\right)\cup\left(2,\infty\right)$$

Answer

$$null$$
$$R:\ \left(-\infty,\frac{1}{2}\right)\cup\left(\frac{1}{2},\infty\right)$$

Answer

$$D:\ \left(-\infty,-2\right)\cup\left(-2,\infty\right)$$
$$R:\ \left(-\infty,-1\right)\cup\left(-1,\infty\right)$$

Question 14

Divide.

Accepted Answer

undefined

Answer

0

Answer

15

Answer

-0

Question 15

Find the horizontal asymptote:

Accepted Answer

y = 3/2

Answer

y = 0

Answer

y = 1

Answer

None

Question 16

What are the x-intercepts?

Accepted Answer

x= 4, x = -2

Answer

x= 2/3

Answer

x= -8, x = 1

Answer

x= -4, x = 2

Question 17

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

Accepted Answer

Hole at (1, 0)

Accepted Answer

H.A. at y = 2

Answer

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

Answer

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

Intro to Graphing Rational Functions

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