Question

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.) | 16 – x2 if -4 <x< 0 f(x) 3x - 2 if O SX4 = absolute maximum DNE absolute minimum -2 local maximum DNE local minimum

Answer 1

Now f(x) = { 16-22, it - 4 <220 (3x-2, it ocn{4 graph of green men function is. H) lim 16-(-x) = 16-1-4)= 16+6= 0 lim nナー4 N--4 lim +(x) = N-4 lim f(x) lim 16-212 = 16-0=16 no- N-0- lim > 0+ f(n) lim 3x- 25o-2=-2 Not - 2 -: +(o)= 3 (0)-2 = = 3(4)-2 =12-2=10 .. tim Hin) line 3x-2 nu &> 4 Graph of fins is. ny 616 10 x=-4 O -2 n=4

we have, DNE Absolute marimum Absolute minimum local manimune -2 DNE local mininum O with respect to absolute miniruum local minim -nuum is . Absolute manimum does not enist then we han ham no local manima.
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