See the picture for the task. Values from point (b): A=6; B=2; C=1; D=28 . A continuous function f i

See the picture for the task. Values from point (b): A=6; B=2; C=1; D=28 . A continuous function f is defined for – 10 < < < 10 . The graph y = f ( *) consists of a line segmentover the interval – 10 < < < O and a piece of a parabola over the interval O < < < 10 .a ) Write the equation for the function of using parameters .b ) Find the values of the parameters from a ) given that the average values of functions f ( * ) , f ( 2 20) .f ( lal ) and f( 2 + 32over the interval – 1 , 1] are equal A , B, Cand D, respectively .PIConsider a function F ( 20 ) =$ ( t ) at .C ) Find the local maximum and minimum values of F ( * ) on the interval – 10 < < < 10 .d ) Find all the inflection points , if any , for the graph y = F ( 2) on the interval – 10 < < < 10 .