For the rational function below (i) Find any intercepts for the graph; (ii) Find any vertical and horizontal asymptotes for the graph; (iii) Sketch any asymptotes as dashed lines. Then sketch a graph of f.y = 

A. (i) y intercept: 2
(ii) horizontal asymptote: y = 0; vertical asymptotes: x = 2 and x = -2
(iii)
B. (i) y intercept: -2
(ii) horizontal asymptote: y = 0; vertical asymptotes: x = 2 and x = -2
(iii)
C. (i) y intercept: - 6
(ii) horizontal asymptote: y = 0; vertical asymptotes: x = 1 and x = -1
(iii)
D. (i) y intercept: - 6
(ii) horizontal asymptote: y = 0
(iii)
Answer: C
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A.
B.
C.
D.
Factor the special products.49 - w2
A. (7 - w)(7 + w) B. (7 - w)2 C. prime D. (7 + w)2
Sketch the graph of f(x). Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = e-x + 2
A. Domain: (-?, ?), range: (2, ?)
Horizontal asymptote: y = 2
B. Domain: (-?, ?), range: (-?, 2)
Horizontal asymptote: y = 2
C. Domain: (-?, ?), range: (2, ?)
Horizontal asymptote: y = 2
D. Domain: (0, ?), range: (-?, ?)
Horizontal asymptote: y = 0
Decide whether the limit exists. If it exists, find its value. f(x)
A. 1 B. Does not exist C. 0 D. 2