# A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local...

A higher powered function, f ( x ) has a domain of [ − 18 , 17 ] . f ( − 18 ) = 12 and f ( 17 ) = 22 . There is a local maximum at the point ( 3 , 53 ) and there is a local minimum at the point ( − 6 , 7 ) . The absolute minimum on this restricted domain is at the point ( x , y ) , with x = and y = The absolute maximum on this restricted domain is at the point ( x , y ) , with x = and y =

As y= -7 is the least value of y that the function can take, the absolute minimum is at x=-6, y=7.

As y= 53 is the greatest value of y that the function can take, the absolute maximum is at x=3, y=53

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