Free Printable 2023-01-09 Rational functions asymptotes and intercepts

1.

What is/are the vertical asymptote(s) of the function?

a)

x = 5

b)

x = 0

c)

x =5 , x = -5

d)

x = 25

2.

What's the vertical asymptote of the function?

a)

x = 4

b)

x = 16

c)

x = 4 , x = -4

d)

No vertical asymptote

3.

What are the vertical asymptote of the function? (Hint: rhymes with schmactoring)

a)

x = -4, x = 1

b)

x = 4, x = -1

c)

x = -4, x = -1

d)

x = 4, x = 1

4.

Where is/are this function's x-intercept(s)?

a)

(5, 0)

b)

(-1, 0)

c)

(1, 0)

d)

(-5, 0)

e)

It has no x-intercepts

5.

What is this function's x-intercept?

a)

(-4, 0)

b)

(-2, 0)

c)

(-16, 0)

d)

(-1/4, 0)

e)

No x-intercepts

6.

What are the coordinates of the x-intercept?

a)

(0, 0)

b)

(9, 0)

c)

(-1, 0)

d)

(4, 0)

e)

It has no x-intercept

7.

What is the correct end behavior of this function?

As $x\rightarrow\infty$ , $f\left(x\right)\rightarrow?$

(a)

8.

What is the correct equation for this function?

a)

$f\left(x\right)=\frac{x-1}{x-2}$

b)

$f\left(x\right)=\frac{x+2}{x+1}$

c)

$f\left(x\right)=\frac{x-2}{x+1}$

d)

$f\left(x\right)=\frac{x+1}{x-2}$

9.

What is the end behavior for this function?

As $x\rightarrow-\infty$ , $f\left(x\right)\rightarrow?$

(a)

10.

What is the correct equation for this function?

a)

$g\left(x\right)=\frac{-2x-1}{x-2}$

b)

$g\left(x\right)=\frac{x+2}{2x-1}$

c)

$g\left(x\right)=\frac{-x-2}{2x-1}$

d)

$g\left(x\right)=\frac{-2x+1}{2+x}$

2023-01-09 Rational functions asymptotes and intercepts

Total questions: 10

Worksheet time: 38mins

Similar Resources on Wayground