Stitz-Zeager_College_Algebra_e-book

We leave that discussion to section 34 because the

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Unformatted text preview: mize the volume are exactly 18in. by 18in. by 36in., however, as I’m sure you are aware by now, we treat all calculator results as approximations and list them as such.) 3.1 Graphs of Polynomials 195 (c) h(x) = −x5 − 3 4. (a) f (x) = (x + 2)3 + 1 y y 12 11 10 9 8 7 6 5 4 3 2 1 −4 −3 −2 10 9 8 7 6 5 4 3 2 1 x −1 −1 −2 −3 −4 −5 −6 −7 −8 −9 −10 (b) g (x) = (x + 2)4 + 1 −2 −1 x y 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 −3 1 (d) j (x) = 2 − 3(x − 1)4 y −4 −1 −1 −2 −3 −4 −5 −6 −7 −8 −9 −10 2 1 −1 −2 −3 −4 −5 −6 −7 −8 −9 −10 −11 −12 −13 1 2 x x 5. We have f (−4) = −23, f (−3) = 5, f (0) = 5, f (1) = −3, f (2) = −5 and f (3) = 5 so the Intermediate Value Theorem tells us that f (x) = x3 − 9x + 5 has real zeros in the intervals [−4, −3], [0, 1] and [2, 3]. 6. Making and selling 71 PortaBoys yields a maximized proﬁt of \$5910.67. 7. The cubic regression model is p3 (x) = 0.0226x3 − 0.9508x2 + 8.61...
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