Use a calculator to graph the rational function in the window indicated. Use the graph to (a) give the x- and y-intercepts, (b) explain why there are no vertical asymptotes, (c) give the equation of the oblique asymptote, and (d) give the domain and range.f(x) =
; [-8, 8] by [-3.9, 3.9]
A. (a) x-intercepts: (-6, 0), (-3, 0), (6, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -132, is negative.;
(c) y = -x + 5;
(d) The domain and range are both (-?, ?).
B. (a) x-intercepts: (-3, 0), (-6, 0), (3, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -132, is negative.;
(c) y = x - 5;
(d) The domain and range are both (-?, ?).
C. (a) x-intercepts: (-6, 0), (-3, 0), (6, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -111, is negative.;
(c) y = x - 5;
(d) The domain and range are both (-?, ?).
D. (a) x-intercepts: (-3, 0), (-6, 0), (3, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -111, is negative.;
(c) y = -x - 5;
(d) The domain and range are both (-?, ?).
Answer: D
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