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section12examples - MATH 110 BUSINESS CALCULUS CHAPTER 1...

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Unformatted text preview: MATH 110 BUSINESS CALCULUS CHAPTER 1 FUNCTIONS AND LINEAR MODELS Section 1.2 Functions from the Graphical Viewpoint 1. Use the graph of the function f to find approximations of the given values: (a) f (−2) (d) f (3) (b) f (0) f (3) − f (1) (e) 3 −1 (c) f (1) 2. Match the functions to the graphs: (a) f ( x) = − x + 4 (0 < x ≤ 4) (b) f ( x ) = 2 − x ( − 2 < x ≤ 2) (c) f ( x) = x+2 (−2 < x ≤ 2) 2 (d) f ( x) = − x + 2 (−2 < x ≤ 2) (e) f ( x) = 1 −1 x (0 < x ≤ 4) 2 (f) f ( x) = x − 1 (−2 < x ≤ 2) (I) (II) (III) (IV) (V) (VI) 3. Sketch the graph of the given function, evaluate the given expressions. ⎧ − x if − 1 < x < 0 ⎪ f ( x) = ⎨ x − 2 if 0 ≤ x ≤ 2 ⎪ − x if 2 < x ≤ 4 ⎩ (a) f (0) (b) f (1) (c) f (2) (d) f (3) 5. Applications: The following graph shows an index P(t) of productivity in the U.S., where t is time in years, and t = 0 represents January 2000. (a) What is the domain of P? (b) Estimate P(−0.5), P(0), P(1.5) Interpret your answer. (c) On which interval is P(t ) ≥ 144 ? Interpret the result. ...
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