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31 Dec 2017

2. (12 pts) (I) (6 pts) Use a right triangle to simplify the given expression. Assume x > 0. tan (cos-- x) (II) (6 pts) Find the inverse of the given function and write it in the form y=f (x). f (x) = VX-2

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Patrina Schowalter
Patrina SchowalterLv2
1 Jan 2018
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1. (32 pts) The graph of a function f is given in the figure below. The domain of fis (-0, +). Use the graph of fto answer the questions below. y = f(x) y=f(x) (I) (2 pts) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + co, -, or "does not exist".) (a) (2 pts) lim f (x) = X+1 + (b) (2 pts) lim f (x) = (c) (2 pts) lim f (x) = x+1 (a) (2 pts) f(1) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f (x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (j) (2 pts) f (0) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.

1. (25 pts) The graph of a function f is given in the figure below. The domain of fis (-, +.). Use the graph of fto answer the questions below. yax) y=f(x) -3 - 2 3 4 (I) (1 pt) Find the range of f. (II) Find the following values. (Note: Possible answers include + , -, or "does not exist".) (a) (1 pt) (x) = 5 (b) (1 pt) lim f (x) = 5 (0) (1 pt) Tim f (x) = 5 (d) (1 pt) f(3) = 2 (e) (2 pts) lim f (x) = + 0 x-2- (8) (2 pts) 11m = (x) = 0 (g) (2 pts) lim f (x) = DOES NOT EXIST x+-2 (h) (2 pts) Lim f (x) = 0 (i) (2 pts) lim f (x) = + X +00 (III) (2 pts) Find all vertical asymptotes. x = -2 (IV) (2 pts) Find all horizontal asymptotes. y = 0 (v) (2 pts) Find all slant asymptotes. | y = x + 2 (VI) (4 pts) Determine the intervals of continuity for f. (-00, -2), [-2, 3), and (3, +c)

1. (25 pts) The graph of a function fis given in the figure below. The domain of fis (-, +.). Use the graph of fto answer the questions below. y = f(x) y=f(x) -3 -1 1 2 3 4 (I) (1 pt) Find the range of f. Range of f = (II) Find the following values. (Note: Possible answers include + , -, or "does not exist".) (a) (1 pt) lim f (x) = x+3+ (b) (1 pt) lim f (x) = (C) (1 pt) lim f (x) = x+3 (a) (1 pt) f(3) = (e) (2 pts) lim f (x) = (f) (2 pts) lim f(x) = (g) (2 pts) lim f (x) = (h) (2 pts) lim f (x) = (i) (2 pts) lim f (x) = (III) (2 pts) Find all vertical asymptotes. (IV) (2 pts) Find all horizontal asymptotes. (V) (2 pts) Find all slant asymptotes. (VI) (4 pts) Determine the intervals of continuity for f.

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