Stitz-Zeager_College_Algebra_e-book

# Y y 4 4 3 3 2 2 1 1 2 1 1 i 1 2 x 2 1 1 iii function

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Unformatted text preview: alue listed on the calculator screen mean in this problem?) 15 It seems silly to list a ﬁnal answer as (2.00, 1.00). Indeed, Calculus conﬁrms that the exact answer to this problem is, in fact, (2, 1). As you are well aware by now, the author is a pedant, and as such, uses the decimal places to remind the reader that any result garnered from a calculator in this fashion is an approximation, and should be treated as such. 1.7 Graphs of Functions 1.7.2 77 Exercises 1. Sketch the graphs of the following functions. State the domain of the function, identify any intercepts and test for symmetry. (a) f (x) = x−2 3 (b) f (x) = √ 5−x (c) f (x) = √ 3 x (d) f (x) = 1 x2 + 1 2. Analytically determine if the following functions are even, odd or neither. (a) f (x) = 7x (b) f (x) = 7x + 2 (c) f (x) = 1 x3 (d) (e) (f) (g) (h) f (x) = x4 +x3 +x2 +x+1 √ (i) f (x) = 5 − x f (x) = 4 f (x) = 0 f (x) = x6 − x4 + x2 + 9 f (x) = −x5 − x3 + x (j) f (x) = x2 − x − 6 3. Given the graph of y = f (x) below, answer all of the following questions. y 5 4 3 2 1 −5 −4 −3 −2 −1 −1 1 2 3 4 5 x −2 −3 −4 −5 (a) (b) (c) (d) (e) (f) (g) (h) Find the domain of f . Find the range of f . Determine f (−2). List the x-intercepts, if any exist. List the y -intercepts, if any exist. Find the zeros of f . Solve f (x) ≥ 0. Determine the number of solutions to the equation f (x) = 2. (i) List the intervals where f is increasi...
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