Question

sketch the graph f(x) = -x if x<0, x if 0 ≤ x<1 ,1 +x if x ≥ 1

Answer 1

So when x is less than 0...the graph will be y = -x

Answer 2

Between 0 and 1, and including 0, the graph will be y = x

Answer 3

And finally at all numbers greater than 1, including 1, the graph will be y = x + 1



So it would roughly look like this

Answer 4

This is a "piecewise function," since it's described by more than one algebraic expression.