Question

What is the domain of the piecewise function `f(x)={x^2=2 if -5<=x<3, x-4 if 3<=x<7`?

Answer 1

The domain is `x in [-5, 7)`

Explanation:

The piecewise function is

`{(x^2-2, AA x in [-5,3)) ,(x-4, AA x in [3,7)) : }`

The graph is

graph{(y-x^2+2)(y-x+4)=0 [-5, 7, -3.95, 3.95]}

The domain is `x in [-5, 7)`