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

Standard problem

Standard

If f(x)=x2−3f(x)=x^2-3, find f(−4)f(-4).

Show step-by-step solution

Answer: 13

  1. Substitute x=−4x=-4: f(−4)=(−4)2−3f(-4)=(-4)^2-3.
  2. (−4)2=16(-4)^2=16, so f(−4)=16−3=13f(-4)=16-3=13.

Common errors to watch for

  • Writing −42=−16-4^2=-16 gives −19-19; the square applies to the whole −4-4.

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.

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