SOLUTION: Use calculator to graph the rational function f(x)=(2x^2-8)/(x^2-9) determine the following: a.)the zeros of f(x) b.)all vertical asymptotes, if exist c.)all horizontal asymptot

Algebra ->  Rational-functions -> SOLUTION: Use calculator to graph the rational function f(x)=(2x^2-8)/(x^2-9) determine the following: a.)the zeros of f(x) b.)all vertical asymptotes, if exist c.)all horizontal asymptot      Log On


   

Question 819873: Use calculator to graph the rational function f(x)=(2x^2-8)/(x^2-9) determine the following:
a.)the zeros of f(x)
b.)all vertical asymptotes, if exist
c.)all horizontal asymptotes, if exist
d.)as x goes to -3 from the right (x goes toward -3+), f(x) goes toward what?
e.)as x goes toward positive infinity, f(x) goes toward what?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Use calculator to graph the rational function f(x)= (2x^2-8)/(x^2-9) determine the following:



a.)the zeros of f(x):  x =  -2,2

 b.)all vertical asymptotes, if exist  x = 3, x =  -3

 c.)all horizontal asymptotes, if exist  y = 2

 d.)lim%28+x-%3E+-3%5Br%5D%2C+%28%282x%5E2-8%29%2F%28x%5E2-9%29%29+%29 =  −∞ 

 e.)lim%28+x-%3E+infinity%2C%28%282x%5E2-8%29%2F%28x%5E2-9%29%29+%29 =   2

Note: FREE graph software at

http://www.padowan.dk.com