Rational Functions, Equations and Inequalities Practice Test

What's the horizontal asymptote of the function?

• y = 0

• No horizontal asymptote

• y = 1/2

• y = 1

What's the vertical asymptote of the function?

• x = -9

• x = 9

• x = 3 , x = -3

• x = 3

What's the vertical asymptote of the function?

• x = 5

• x = 0

• x =5 , x = -5

• x = 25

What is the X-Intercept?

• x= 0
• x= 4
• x= 5
• x= -5

What are the x-intercepts?

• x= 2/3
• x= 4, x = -2
• x= -8, x = 1
• x= -4, x = 2

Find the oblique asymptote.
(3x³ - 2x + 1) / (x² + 4x + 2)

• y = 3x - 12
• y = 40x + 25
• y = 3x - 10
• y = 3x - 14

 $\frac{4x}{x-5}-\frac{3}{x-6}$  Simplify

•  $\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$  

•  $\frac{4x-3}{2x+1}$  

•  $\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$  

•  $\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$  

Simplify  $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$  

•  $\frac{n-3}{n-8}$  

•  $\frac{n-3}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-14}{2n-3}$  

Solve for x:
 $\frac{3x-7}{x+2}>1$  

•  $\left(-2,\ \frac{9}{2}\right)$  

•  $\left(-\infty,-2\right)\cup\left(\frac{9}{2},\ \infty\right)$  

•  $\left(-\infty,-2\right)\cup\left(\frac{7}{3},\ \infty\right)$  

•  $\left(-2,\ \frac{7}{3}\right)$  

• $\left(-10,-2\right)$

• $\left[-10,-2\right]$

• $\left(-\infty,-10\right]\cup\left(-2,2\right)$

• $\left(-\infty,-10\right)\cup\left(-2,2\right]$