wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

PRETEST-ASYMPTOTES

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

What is the horizontal asymptote of the function y= y=x225x2x20y=\frac{x^2-25}{x^2-x-20}  ?

a)

None

b)

y=0

c)

y=1

d)

y=5/4

2.

What is the definition of an ASYMPTOTE?

a)

A curved line

b)

A line that only touches the origin

c)

A line that only lives on the first quadrant

d)

A line that a curve approaches, as it heads towards infinity

3.

What is the x-intercept of the rational function g(x)=x5(x9)(x+8)g(x)=\frac{x−5}{(x−9)(x+8)}  ?

a)

(5,0)

b)

(0,5)

c)

(8,0)

d)

(9,0)

4.

What is the y-intercept of the rational function g(x)=x5x+8g(x)=\frac{x−5}{x+8}  ?

a)

(5,0)

b)

(0,5/8)

c)

(0,-5/8)

d)

(0,-8/5)

5.

What is the zero of the rational function g(x)=x5x+8g(x)=\frac{x−5}{x+8}  ?

a)

x=0

b)

x=5

c)

x=8

d)

x=-5

6.

These are points on the axes where the graph crosses or intersects.

a)

intercepts

b)

zeroes

c)

asymptotes

d)

graphs

7.

Which of the following rational functions has a slant asymptotes?

a)

y = 1x\frac{1}{x}  

b)

y = x+3x2\frac{x+3}{x-2}  

c)

y = 6x2x1\frac{6x}{2x-1}  

d)

y = x29x\frac{x^2-9}{x}  

8.

What is/are the vertical asymptote/s of the function g(x) = x5(x9)(x+8)\frac{x-5}{\left(x-9\right)\left(x+8\right)}  ?

a)

x = 9, x=-8

b)

x = 5

c)

x = -9, x=8

d)

x = -5

9.

What is the horizontal asymptote of the function f(x) = x+8(x22)\frac{x+8}{\left(x^2-2\right)}  ?

a)

None

b)

y =-8

c)

y = 2

d)

y = 0

10.

What is the horizontal asymptote of the function (x) = 32x28x25\frac{32x^2}{8x^2-5}  ?

a)

None

b)

y = 5

c)

y = 4

d)

y = -5