Piecewise-defined function- Evaluate f (-2),f (0), and f (3)

Question

F (x)={x-1 if -4≤ x≤ 1}

           {x+1if 1<x <3}

Answer 1

Look at the three specific values where evaluation is requested

 

for 0, the expression x-1 APPLIES.

for -2, the expression x-1 applies.

 

for 3, THAT IS NOT IN THE DOMAIN.

Answer 2

f(-2)=-2-1=-3

f(0)=0-1=-1

f(3)=lim_x→3^- f(x)=lim_x→3^-(x+1)=4