Quiz about Graphing Rational Functions

Question 1

Which equation best represents the graph?

Accepted Answer

$$y=\frac{\left(x+2\right)}{\left(x-4\right)}$$

Answer

$$y=\frac{\left(2x\right)}{\left(x-4\right)}$$

Answer

$$\ y=\frac{\left(x+2\right)}{\left(x+4\right)}$$

Answer

$$y=\frac{\left(x+4\right)}{\left(x-2\right)}$$

Question 2

What is the Vertical Asymptotes?

Accepted Answer

x= 6

Answer

x= -5

Answer

x= 5

Answer

x= -6

Question 3

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 4

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 5

Which of the following represents the graph below?

Accepted Answer

D) Option 4

Answer

A) Option 1

Answer

B) Option 2

Answer

C) Option 3

Question 6

What is the horizontal asymptote?

Accepted Answer

y = 7

Answer

x = 2

Answer

x = 7

Answer

y = 2

Question 7

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

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 8

What is the horizontal asymptote to this function?

Accepted Answer

y=4

Answer

y=0

Answer

y=-2

Answer

y=1

Question 9

Graph the function.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 10

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 11

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 12

What is the vertical asymptote?

Accepted Answer

x =-3

Answer

y = -3

Answer

x = 3

Answer

y = 3

Question 13

What is the horizontal asymptote?

Accepted Answer

y = 2

Answer

x = 2

Answer

x =-2

Answer

y=-2

Question 14

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 15

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)

Question 16

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

Accepted Answer

H.A. at y = 0

Accepted Answer

V.A. at x = 1

Accepted Answer

y-intercept at (0, 1/2)

Answer

No Holes

Question 17

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

Accepted Answer

No Holes

Accepted Answer

0.A. at y = x + 5

Answer

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

Answer

y-intercept at (0,0)

Question 18

Graph the function.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Graphing Rational Functions

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