1 point Note click on graph for larger version in new browse

(1 point) Note: click on graph for larger version in new browser window. The above graph is the plot of the piecewise- defined function fi (a) 1 f(z) (a) 1 f3 (z) 3 Find formulas for fi (a), f2 (z), and fa(z). fi (r) f3(z) Note: You can earn partial credit on this problem.

Solution

f1(x) : (-2, 2) ( 1, 5) ; slope = ( 5 -2)/(1 +2) = 1

f1(x) = mx +c ; x +c ;    5 = 1 +c ; c = 4

f1(x) = x +4

f2(x) = -4

f3(x) : (3 , 1) ( 4 , 3)

slope = ( 3 -1)/( 4 -3) = 2

f3(x) = 2x +c ; 1 = 3*2 +c ; c = -5

f3(x) = 2x -5