Free Printable Ch. 4.2E

1.

Find any holes or vertical asymptotes. Check all that apply.

y=\frac{1}{x^2-6x-16}

a)

x = -2

b)

x = 0

c)

x = 1

d)

x = 8

e)

No Vertical Asymptote

2.

Find any holes or vertical asymptotes. Check all that apply.

y=\frac{2x^2+11x-6}{x^2+2x-24}

a)

x = -6

b)

x = 0

c)

x = 2

d)

x = 4

e)

No Vertical Asymptote

3.

Find any holes or vertical asymptotes. Check all that apply.

y=\frac{2x^2-6x}{9x-3x^2}

a)

x = -3

b)

x = 0

c)

x = 3

d)

No Vertical Asymptotes

e)

x = -2/3

4.

Find any horizontal asymptotes.

R\left(x\right)=\frac{4x^3+7x-12}{2x-7}

a)

y = 2

b)

No horizontal asymptote

c)

y = 0

d)

y = 7/2

5.

Find any horizontal asymptotes.

R\left(x\right)=\frac{8x-3}{2x+9}

a)

y = 4

b)

No horizontal asymptote

c)

y = 0

d)

y = -9/2

6.

Find any horizontal asymptotes.

R\left(x\right)=\frac{3x^2-4x+9}{4x^3+8x^2-10x+1}

a)

y = 3/4

b)

No horizontal asymptote

c)

y = 0

d)

y = -2

7.

Find the oblique (slant) asymptote, if it exits.

y=\frac{6x^3+8x^2-7x}{2x^2-3x+1}

a)

$y=3x+8.5$

b)

Oblique asymptote does not exist.

c)

$y=29.5x-8.5$

d)

$y=3x$

8.

Find the oblique (slant) asymptote, if it exits.

y=\frac{x^2+7x+3}{3x^3+22x^2+16x+3}

a)

$y=3x+1$

b)

Oblique asymptote does not exist.

c)

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

d)

$y=0$

9.

Find the oblique (slant) asymptote, if it exits.

y=\frac{x^2+6x-10}{2x-4}

a)

$y=\frac{1}{2}x+4$

b)

Oblique asymptote does not exist.

c)

$y=6$

d)

$y=\frac{1}{2}x$

Ch. 4.2E - Review

Total questions: 9

Worksheet time: 33mins

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