Name the conic.

A. parabola
B. ellipse
C. circle
D. hyperbola

Answer: D

Mathematics

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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) = ; [-6, 6] by [-3, 3]

A. (a) x-intercepts: (-4, 0), (-1, 0), (1, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -28, is negative.;
(c) y = - x - ;
(d) The domain and range are both (-?, ?).
B. (a) x-intercepts: (-8, 0), (-2, 0), (2, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -28, is negative.;
(c) y = x + ;
(d) The domain and range are both (-?, ?).
C. (a) x-intercepts: (-4, 0), (-1, 0), (1, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -28, is negative.;
(c) y = - x + ;
(d) The domain and range are both (-?, ?).
D. (a) x-intercepts: (-8, 0), (-2, 0), (2, 0); y-intercept: ;
(b) The denominator has no real zeros because the discriminant, -28, is negative.;
(c) y = x - ;
(d) The domain and range are both (-?, ?).