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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
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