Mathematics

Question 1

1If h(x) = 3x² + 6, then h(5) = ___.

Medium

Your answer (fill in the blank)

Question 2

2A relation in which each input has exactly one output is a

Easy

A. vector B. function C. set D. graph only

Question 3

3Given f(x) = 3x − 6 and f(k) = −3, find k.

Medium

A. 3 B. −15 C. 1 D. −1

Question 4

4A mapping sends 3 → 19, 4 → 24, 5 → 29. Find the rule.

Hard

A. x → 6x + 1 B. x → x + 16 C. x → 5x + 4 D. x → 4x + 5

Question 5

5Given f(x) = 2x + 1, find f(8).

Easy

A. −15 B. 18 C. 17 D. 11

Question 6

6The set of outputs of a function is the

Easy

A. gradient B. range C. origin D. domain

Question 7

7Given f(x) = 6x + 5, find f(5).

Easy

A. 16 B. −25 C. 35 D. 60

Question 8

8A mapping sends 3 → 18, 4 → 23, 5 → 28. Find the rule.

Hard

A. x → 6x + 0 B. x → 5x + 3 C. x → x + 15 D. x → 3x + 5

Question 9

9Which relation is many-to-one?

Hard

A. {(1, 1), (2, 2), (3, 3)} B. {(5, 1), (5, 2), (6, 3)} C. {(1, 5), (2, 5), (3, 6)} D. {(1, 2), (1, 3), (2, 4)}

Question 10

10x → x² is a many-to-one mapping on the integers.

Hard

A. True B. False