WAEC Further Mathematics 2010 Question 16

Question 16

Functions

Given that P = {x : x is a factor of 6} if the domain of g(x) = x2 + 3x − 5, find the range of g(x).

  1. A.(−1, 5, 13)
  2. B.(5, 13, 49)
  3. C.(1, 2, 3, 6)
  4. D.(−1, 5, 13, 49)
Show the answer and explanation

Answer: D ((−1, 5, 13, 49))

Explanation

P = {1, 2, 3, 6}. g(1) = −1, g(2) = 5, g(3) = 13, g(6) = 49, so the range is {−1, 5, 13, 49}.