Evaluate the piecewise function at the given values of the i

Evaluate the piecewise function at the given values of the independent variable. g(x) = {x + 3 if x greaterthanequalto -3 -(x + 3) if x

Solution:

Given that:

g(x) = x + 3 if x-3 and -(x+3) if x<-3

(a)

g(0) = x +3 since 0>-3

g(0) = 3

(b)

g(-6) = -(x+3) if since -6<-3

g(-6) = -(-6+3)

g(-6) = 3

(c)

g(2) = x+3

g(2) = 2+3 = 5

Answer