The absolute maximum of the functionf(x) = 3x² + 3x + 14 over [1, 7].7911620318235If lim f(x) = 12 and lim g(x) = 29 thenx→3%3Dx→3lim (2f(x)g(x) – 8] =x→369625624688704

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Calculus

The absolute maximum of the function f(x) = 3x² + 3x + 14 over [1, 7]. 79 116 203 182 35

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

The absolute maximum of the function
f(x) = 3x² + 3x + 14 over [1, 7].
79
116
203
182
35
If lim f(x) = 12 and lim g(x) = 29 then
x→3
%3D
x→3
lim (2f(x)g(x) – 8] =
x→3
696
256
24
688
704

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