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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.

Ginawa para sa mga guro at mag-aaral sa Pilipinas. Sumusunod ang nilalaman sa DepEd Budget of Work.

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