Gce Model Questions Vol1 2025 Further Mathematics Question 30

Practice objective / multiple choice question 30 from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2025 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 30 GCE_MODEL_QUESTIONS_VOL1 • 2025 • FURTHER_MATHEMATICS • objective

Let \(A = \{1,2,3,4\}\) and define a function \(f : A \to A\) by \(f(x) = x^{2} \bmod 5\). List the image (range) of \(f\) and state whether \(f\) is injective, surjective, both, or neither.

Answer Options

A. Image = {0,1,4}; f is neither injective nor surjective
B. Image = {2,3}; f is neither injective nor surjective
C. Image = {1,4}; f is injective but not surjective
Correct Answer D. Image = {1,4}; f is neither injective nor surjective
Correct Answer
D
Correct Option:
Image = {1,4}; f is neither injective nor surjective

About This Question

This is Gce Model Questions Vol1 2025 Further Mathematics Question 30. It is one of the objective questions from the 2025 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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