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Math  /  Algebra

QuestionGiven the rational function: f(x)=6x2−16x−64x2+8x+4f(x)=\frac{6 x^{2}-16 x-6}{4 x^{2}+8 x+4} Find the following: a) Domain: □\square b) yy-intercept: □\square c) xx-intercept(s): □\square d) Vertical asymptotes: □\square e) Horizontal asymptote: □\square f) Select the graph:

Studdy Solution
a) Domain: all real numbers except x=−1x=-1 b) y-intercept: −32-\frac{3}{2} c) x-intercept(s): −13-\frac{1}{3} and 33 d) Vertical asymptotes: x=−1x=-1 e) Horizontal asymptote: y=32y=\frac{3}{2} f) Select the graph: (The graph that matches these characteristics)

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