Stitz-Zeager_College_Algebra_e-book

Y y 4 4 3 3 2 2 1 1 3 2 1 1 1 2 3 4 5 6 7 8 x 2

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Unformatted text preview: obtain z = ± (50 − x)2 + 900. Since z represents a distance, we choose z = (50 − x)2 + 900 so that our cost as a function of x only is given by C (x) = 15x + 20 (50 − x)2 + 900 From the context of the problem, we have 0 ≤ x ≤ 50. 2. Graphing y = C (x) on a calculator in a suitable window produces the graph below. Using the ‘Minimum’ feature, we find the relative minimum (which is also the absolute minimum in this case) to two decimal places be (15.98, 1146.86). Here the x-coordinate tells us that in order to minimize cost, we should run 15.98 miles of cable along Route 117 and then turn off of the road and head towards the outpost. The y -coordinate tells us that the minimum cost, in dollars, to do so is $1146.86. The ability to stream live SasquatchCasts? Priceless. 5.3 Other Algebraic Functions 5.3.1 321 Exercises 1. For each function below • Find its domain. • Create a sign diagram. • Use your calculator to help you sketch its graph and identify any vertical or horizontal asymptotes...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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