Gce Model Questions Vol1 2024 Further Mathematics Question 9

Practice objective / multiple choice question 9 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 9 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Define the function \(f:\mathbb{Z}\to\mathbb{Z}\) by \(f(x)=2x+3\).\n\n(i) Is \(f\) injective?\n(ii) Is \(f\) surjective onto \(\mathbb{Z}\)?\n(iii) Find the pre‑image of the integer \(11\).

Answer Options

Correct Answer A. Injective: yes. Surjective onto \(\mathbb{Z}\): no (only odd integers are attained). Pre‑image of 11 is \(4\).
B. Injective: yes. Surjective onto \(\mathbb{Z}\): yes. Pre‑image of 11 is \(4\).
C. Injective: no. Surjective onto \(\mathbb{Z}\): no (only odd integers are attained). Pre‑image of 11 is \(4\).
D. Injective: yes. Surjective onto \(\mathbb{Z}\): no (only even integers are attained). Pre‑image of 11 is \(5\).
Correct Answer
A
Correct Option:
Injective: yes. Surjective onto \(\mathbb{Z}\): no (only odd integers are attained). Pre‑image of 11 is \(4\).

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 9. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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