Question

Write a function rule for the piecewise function displayed in the graph.

Answer 1

For x ≤ -3, the function is constant and has the value of -2, that is, f(x) = -2

For -3 < x < 0, the function is a line with slope -1 and y-intercept equal to 4,that is, f(x) = -x + 4

For x ≥ 0, the function is a line with slope 1 and y-intercept equal to 0,that is, f(x) = x

-2 x ≤ -3

f(x)= -x + 4 -3 < x < 0

x x ≥ 0