Stitz-Zeager_College_Algebra_e-book

Our predicted warmest temperature was found to be

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Unformatted text preview: 1, 2). (+) 0 (−) 1 0 −1 (−) 1 2 0 (+) 2 1 3 Combining these into one sign diagram, we get our solution is [0, 2]. Graphically, to check 2x − x2 ≥ |x − 1| − 1, we set h(x) = 2x − x2 and i(x) = |x − 1| − 1 and look for the x values 3 In this case, we say the line y = 12x is tangent to y = 9x2 + 4 at functions is the stuff of legends, I mean, Calculus. 2 ,8 3 . Finding tangent lines to arbitrary 164 Linear and Quadratic Functions where the graph of h is above the the graph of i (the solution of h(x) > i(x)) as well as the x-coordinates of the intersection points of both graphs (where h(x) = i(x)). The combined sign chart is given on the left and the graphs are on the right. y 1 (+) 0 (−) 0 (+) 0 −1 2 0 −1 1 2 3 x −1 3 −2 It is quite possible to encounter inequalities where the analytical methods developed so far will fail us. In this case, we resort to using the graphing calculator to approximate the solution, as the next example illustrates. Example 2.4.5. Suppose the revenue R, in thousands of dollars, from producing and...
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