Question

A piecewise linear function is graphed below. (see image)

Answer 1

Answer:

Step-by-step explanation:

Given is a piecewise graph

discontinuous at x=0

For all negative x, we have y = constant = 2

Hence I part is

y =2, for x<0

Next part is from x=0 to x=3

Passes through points (0,0) and (3,3)

Hence equation is y =3x for $0\leq x\leq 3$

For all values of x >3, we have a horizontal line as y = 3

Consolidated together

$y=x, for x$

Answer 2

y = 2 for x < 0
    =  x for 0 ≤ x < 3
    = 3 for x ≥ 3