Term 1 · Weeks 9–10 · Functions and Their Graphs

Basic problem

Basic

Which of the following is a linear function?

Show step-by-step solution

Answer: a. $f(x) = 2x + 1$

A linear function has the form $f(x) = mx + b$ with $x$ to the first power only.
$f(x) = 2x + 1$ fits this form; the others involve a square, a square root, or an absolute value.

Common errors to watch for

gm11.t1.w9.c2
Classify functions based on their graphs and/or equations to determine if they are linear, absolute value, quadratic, square root, or cube root.