WAEC Further Mathematics 2021 Question 37

Question 37

Functions

Given that f: x → x2 − x + 1 is defined on the set Q = {x: 0 ≤ x < 20, x is a multiple of 5}, find the range of f.

  1. A.{21, 91, 211}
  2. B.{21, 91, 211, 381}
  3. C.{1, 21, 91, 211}
  4. D.{1, 21, 91, 211, 381}
Show the answer and explanation

Answer: C ({1, 21, 91, 211})

Explanation

Q = {0, 5, 10, 15} (20 is excluded). f(0) = 1, f(5) = 21, f(10) = 91, f(15) = 211.