Quiz about Rational Functions Characteristics

Question 1

Find the horizontal asymptote.

Accepted Answer

None

Answer

y = -2

Answer

y = 2

Answer

y = 0

Question 2

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

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 3

What are the domain and range?

Accepted Answer

D : $$\left(-\infty,-3\right)\cup\left(-3,\infty\right)$$ R: $$\left(-\infty,1\right)\cup\left(1,\infty\right)$$

Answer

D : $$\left(-\infty,1\right)\cup\left(1,\infty\right)$$ R: $$\left(-\infty,-3\right)\cup\left(-3,\infty\right)$$

Answer

D : $$\left(-\infty,3\right)\cup\left(3,\infty\right)$$ R: $$\left(-\infty,-1\right)\cup\left(-1,\infty\right)$$

Answer

D: $$\left(-\infty,-1\right)\cup\left(-1,\infty\right)$$ R: $$\left(-\infty,3\right)\cup\left(3,\infty\right)$$

Question 4

What's the vertical asymptote of the function?

Accepted Answer

x =5 , x = -5

Answer

x = 5

Answer

x = 0

Answer

x = 25

Question 5

What's the vertical asymptote of the function?

Accepted Answer

x = -9

Answer

x = 9

Answer

x = 3 , x = -3

Answer

x = 3

Question 6

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 7

What type(s) of asymptotes does this function have? (Check all that apply.)

Accepted Answer

Vertical

Accepted Answer

Horizontal

Answer

Slant

Question 8

A vertical asymptote is found by setting the _________= to zero and solving for x

Accepted Answer

Denominator

Answer

Numerator

Answer

Right side

Answer

Left side

Question 9

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 10

What is the horizontal asymptote?

Accepted Answer

y = 2

Answer

x = 2

Answer

x =-2

Answer

y=-2

Question 11

The rational function, $$y=\frac{1}{x+7}$$ has a vertical asymptote at...

Accepted Answer

x = -7

Answer

y = -7

Answer

x = 7

Answer

y = 1

Question 12

Which rational function has a vertical asymptote at x = -3

Accepted Answer

$$y=\frac{1}{x+3}$$

Answer

$$y=\frac{1}{x-3}$$

Answer

$$y=\frac{1}{3}$$

Answer

$$y=\frac{3}{x}$$

Question 13

What's the horizontal asymptote of the function?

Accepted Answer

No horizontal asymptote

Answer

y = 0

Answer

y = 1

Answer

y = 9

Question 14

What's the horizontal asymptote of the function?

Accepted Answer

y = 0

Answer

y = 3

Answer

No horizontal asymptote

Answer

y = 2

Question 15

What's the horizontal asymptote of the function?

Accepted Answer

y = 0

Answer

No horizontal asymptote

Answer

y = 1/2

Answer

y = 1

Rational Functions Characteristics

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