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13 Nov 2019

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (If an answer does not exist, enter DNE.)

f(x) = 25 − x2 if −5 ≤ x < 0

3x − 3 if 0 ≤ x ≤ 5

absolute maximum

absolute minimum

local maximum

local minimum

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Deanna Hettinger
Deanna HettingerLv2
26 Jul 2019

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Find the absolute maximum and absolute minimum values of the function

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = 2 sin(x) sin(y), −π < x < π, −π < y < π

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = x3 − 27xy + 27y3

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