Math Playground
Algebra

Evaluating functions

f(3) means: drop 3 in for x, simplify, read the answer.

Evaluating f(a) means: drop a in for x, simplify.

Try this
3
f(x) = 2x² − 3x + 1 = 10

How to evaluate f(a)

  • Wherever you see x in the rule, write (a) — with brackets.
  • Simplify using order of operations: powers before multiplication before addition.
  • The result is one number: the output of the function at that input.
Your turn

If f(x) = x² − 4x, find f(−2).

Brackets matter: f(x) = −x² at x = 3 is −(3²) = −9, not (−3)² = 9. Substitute the input inside parentheses every time.

Try it

f(x) = 2x² + 1, find f(3)

2(9) + 1 = 19.