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Given that f: x --> x\(^2\) - x + 1 is defined on the Set Q...

Further Mathematics
WAEC 2021

Given that f: x --> x\(^2\) - x + 1 is defined on the Set Q = { x : 0 ≤ x < 20, x is a multiple of 5}. find the set of range of F.

  • A. {21, 91, 221}
  • B. {21, 91, 221, 381}
  • C. {1,21, 91, 221}
  • D. {1,21, 91, 221,381}
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Correct Answer: Option A
Explanation

multiples of 5 less than 20 = 5, 10 and 15

= [ 5, 10 and 15 ]x\(^2\) - x + 1


x\(^2\) - x + 1

when x = 5

5\(^2\) - 5 + 1; 25 - 5 + 1 --> 21

when x = 10

10\(^2\) - 10 + 1

100 - 9 = 91

when x = 15

15\(^2\) - 15 + 1

225 - 15 + 1 = 211


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995