(a) all values at which f has a local maximum:

(b) all local maximum values of f:

The best answers to your questions are :

From the graph attached the high points that can be seen on the graph are ;  (-3,3) and (2, 4).

therefore the x-values at which the function f will have a local maximum will be  ( -3, 2) while  All local maximum values will be ( 3, 4 )

The Local maximum point on the graph of a function is a point (x,y) where the value of y ( y coordinate ) has the highest value when compared with the value of other y-coordinates.

Hence ; All values at which f has a local maximum = ( 3,2 ) while All local maximum values of f = ( 3,4 )

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  (a) {-3, 2}

  (b) {3, 4}

Step-by-step explanation:

The high points are (-3, 3) and (2, 4).

The x-values at which the function has a local maximum are {-3, 2}.

The local maximum values are {3, 4}.

Your answer box probably doesn't want the curly brackets and maybe not the spaces, either. Those brackets are used to identify a set of values.