Question

f(x)=x+4 -3≤x<1 x=1 x>1
8
-x+2
DOMAIN?
INTERCEPTS?

Answer 1

domain is
\[[-3,\infty)\] since the function is defined only for numbers greater than or equal to -3

Answer 2

to find the y intercept set x = 0 and solve

Answer 3

because
\[-3\leq 0<1\] use the first rule and get
\[f(0)=0+4=4\] so y intercept is (0,4)

Answer 4

to find x intercepts set y = 0 and solve
now
\[x+4=0\implies x=-4\] but -4 is not in the domain of the function so forget about that one

\[8=0\] is not possible

\[-x+2=0\implies x=2\] so the x intercept is (2,0)