section11examples

section11examples - MATH 110 BUSINESS CALCULUS CHAPTER 1...

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Unformatted text preview: MATH 110 BUSINESS CALCULUS CHAPTER 1 FUNCTIONS AND LINEAR MODELS Section 1.1 Functions from the Numerical and Algebraic Viewpoints 1. Evaluate each expression based on the following table: x −3 f ( x) 1 −2 2 −1 4 (a) f (2) − f (−2) (b) f ( −1) f ( −2) (c) −2 f (−1) 2 2. Given f ( x) = 2 x − x + 1 , find: (a) f (0) (b) f (−1) (c) f ( z ) (d) f ( x + h) 0 2 1 1 2 0.5 3 0.25 ⎧t − 1 if t ≤ 1 ⎪ f (t ) = ⎨ 2t if 1 < t < 5 3. Given ⎪ t 3 if t ≥ 5 find: ⎩ (a) f (0) (b) f (1) (c) f (4) − f (2) f (5) + f (−5) (d) 4. Find and simplify: (a) f ( x + h) − f ( x) f ( x + h) − f ( x ) (b) h CASE I. f ( x) = 3 x − 1 2 CASE II. f ( x) = x + x 5. Applications: The total weekly revenue earned at Royal Ruby Retailers is given by R( p) = − 42 p + 80 p 3 where p is the price (in dollars) RRR charges per ruby. Use this function to determine: (a) The weekly revenue, to the nearest dollar, when the price is set at $20/ruby, (b) The weekly revenue, to the nearest dollar, when the price is set at $200/ruby (interpret the result). (c) The price RRR should charge in order to obtain a weekly revenue of $1,200. ...
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