A continuous function f is defined for - 10 lt; lt; lt; 10 . The graph y = f ( *) consists of a line segment over the interval - 10 lt; lt;...

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

8 . 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 + 3\2over 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 .