SOLUTION: Graph the rational Function f(x)=x^2-x-12/x^2-1 2. Find the y-intercept. 3. Find the x-intercepts 4. What are the x-coordinates of the vertical asymptote(s) 5. What

Algebra ->  Rational-functions -> SOLUTION: Graph the rational Function f(x)=x^2-x-12/x^2-1 2. Find the y-intercept. 3. Find the x-intercepts 4. What are the x-coordinates of the vertical asymptote(s) 5. What      Log On


   

Question 674469: Graph the rational Function
f(x)=x^2-x-12/x^2-1
2. Find the y-intercept.
3. Find the x-intercepts
4. What are the x-coordinates of the vertical asymptote(s)
5. What is the y-coordinate of the horizontal asymptote?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the rational Function
f(x)=x^2-x-12/x^2-1
Factor:
f(x) = [(x-4)(x+3)] / [(x-1)(x+1)
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2. Find the y-intercept.
Let x = 0, Then y = [-4*3/(-1)(1)] = 12
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3. Find the x-intercepts
Let y = 0, Then Solve (x-4)(x+3) = 0
x-intercepts are x = 4 and x = -3
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4. What are the x-coordinates of the vertical asymptote(s)
VAs when the denominator is zero
x = 1 and x = -1
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5. What is the y-coordinate of the horizontal asymptote?
HA: y = x^2/x^2 = 1
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Cheers,
Stan H.
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