The function f is defined by . Draw the graph of f(x).

Question

Philoid · Accepted Answer

Given

When x < 0, we have f(x) = 1 – x

f(–4) = 1 – (–4) = 1 + 4 = 5

f(–3) = 1 – (–3) = 1 + 3 = 4

f(–2) = 1 – (–2) = 1 + 2 = 3

f(–1) = 1 – (–1) = 1 + 1 = 2

When x = 0, we have f(x) = f(0) = 1

When x > 0, we have f(x) = 1 + x

f(1) = 1 + 1 = 2

f(2) = 1 + 2 = 3

f(3) = 1 + 3 = 4

f(4) = 1 + 4 = 5

Plotting these points on a graph sheet, we get