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Mathematics · Polynomial FunctionsMATHEMATICS · GRADE 10
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Mathematics · Polynomial Functions · Topic 3 · 3 of 18

Evaluating Polynomial Functions

Substitute values and calculate the output of a polynomial function.

If f(x)=2x³−3x+1, then f(2)=?

Substitution process

  1. Replace every x with the given input value.
  2. Use parentheses, especially for negative inputs.
  3. Evaluate exponents first.
  4. Multiply, then add or subtract.

Solution: f(2)=2 × (2)³−3 × (2)+1=11.

InputThe chosen x-value.
OutputThe resulting value f(x).
Point on graphEvery result creates the point (x,f(x)).