Skip to content
Back to the problem bank

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

Basic problem

Basic

Which type of function has the graph of f(x)=∣x−2∣+1f(x)=|x-2|+1?

Choices
Show step-by-step solution

Answer: b. Absolute value

  1. The expression contains ∣x−2∣|x-2|, an absolute value of a linear expression.
  2. Its graph is a V shape with vertex at (2,1)(2,1), so it is an absolute value function.

Common errors to watch for

  • (c) Confuses the V shape of absolute value with the U shape of a parabola.
  • (a) Sees x−2x-2 and assumes the function is linear, ignoring the bars.

Budget of Work competencies

  • 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.

Built for teachers and learners in the Philippines. Curriculum content follows the DepEd Budget of Work.

About © 2026 SSHS Math Talas Hub