A-level · Algebra & functions

Functions, domain and rangeExam-style questions

What a function is and what its domain and range describe. Function notation; the domain as the inputs and the range as the outputs, each in its own letter; the range of a quadratic from the completed square; why a restricted domain needs the vertex and both ends tested; the largest possible domain of a square root or a fraction; and one-to-one against many-to-one.

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7 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4
  1. 1
    The function ff is defined by f(x)=x2−1f(x) = x^2 - 1. Find f(−3)f(-3).
    Level 2 · 1 markTry it
  2. 2
    The function ff is defined by f(x)=2x+3f(x) = 2x + 3. Find f(4)f(4).
    Level 2 · 1 markTry it