Quiz about Graphing Rational Functions

Question 1

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

Identify the x-intercepts. SELECT ALL THAT APPLY.

Accepted Answer

(2,0)

Accepted Answer

(-2,0)

Answer

(-1,0)

Answer

(1,0)

Question 2

Which is true?

$$f\left(x\right)=\frac{x^2-5x+6}{\left(x-1\right)\left(x+4\right)}$$

Accepted Answer

There is a horizontal asymptote at y=1

Answer

There is NO horizontal asymptote.

Answer

There is ONE vertical asymptotes.

Answer

There is an x-intercept at (-2,0)

Question 3

Which of the following represents the graph below?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 4

What is the horizontal asymptote?

Accepted Answer

y = 7

Answer

x = 2

Answer

x = 7

Answer

y = 2

Question 5

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

Accepted Answer

vertical

Answer

horizontal

Answer

slant

Answer

none

Question 6

What is the horizontal asymptote of $$f\left(x\right)=\frac{8x^2+4x+1}{2x^2+10}$$ ?

Accepted Answer

Answer

Answer

Answer

Question 7

What is the range of $$f\left(x\right)=\frac{4x^2-2}{2x^2+16}$$ ?

Accepted Answer

$$\left(-\infty,\ 2\right)\cup\left(2,\ \infty\right)$$

Answer

$$\left(-\infty,\ -2\right)\cup\left(2,\ \infty\right)$$

Answer

$$\left(-\infty,\ \infty\right)$$

Answer

$$\left(-\infty,\ -2\right)\cup\left(-2,\ \infty\right)$$

Graphing Rational Functions