# SOLUTION: For the rational function f(x) = (x 2 - 1) / (x 2 - 9), give the intercepts and asymptotes and sketch the graph.

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: For the rational function f(x) = (x 2 - 1) / (x 2 - 9), give the intercepts and asymptotes and sketch the graph.      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 35982: For the rational function f(x) = (x 2 - 1) / (x 2 - 9), give the intercepts and asymptotes and sketch the graph.Answer by stanbon(57399)   (Show Source): You can put this solution on YOUR website!f(x) = (x^ 2 - 1) / (x^2 - 9), give the intercepts and asymptotes and sketch the graph. x-intercept: let y=0 and solve for "x. y will be zero if x^2-1 = 0; y=0 if x=1 or x=-1 x-intercepts are (1,0) and (-1,0) y-intercept: let x=0 and solve for "y". y=(-1/-9)= 1/9 y-intercept at (0,1/9) Horizontal asymptote: Highest power of x is x^2/x^2. Horizontal asymptote is y=1 Vertical asymptote: Denominator is zero when x=3 or x=-3. Vertical asymptotes at x=3 and x=-3. With all this information you should be able to sketch the graph Cheers, stan H.