Answer to Question #97772 in Calculus for Elise

Question #97772
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) =

x2 if −1 ≤ x ≤ 0
7 − 9x if 0 < x ≤ 1
1
Expert's answer
2019-11-12T12:26:03-0500



From the sketch, we can see the graph has a discontinuity at x=0x=0 and f(0)=0f(0)=0 .

MInimas are:

Local Minima =0=0 and 2-2 at x=0x=0 and x=1x=1 respectively.

Gloabal Minima f(x)=2f(x)=-2 at x=1x=1


Maximas are:

Local Maxima =1=1 at x=1x=-1 only.

Global Maxima =DNE=DNE ; this is because the function has a discontinuity at x=0x=0 and the function does not attain the value of 7.


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