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BECE Mathematics 2026 Paper

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Question : 28

Total: 40

Find the rule for the mapping shown below.

$x \rightarrow 3 x$
$x \rightarrow 4-x$
$x \rightarrow x+2$
$x \rightarrow 2 x+1$

Solution:

Concept:

A mapping rule is found by testing the given input-output pairs from the diagram.

Explanation:

From the mapping, the pairs are

1 \to 3

,

2 \to 5

, and

3 \to 7

.

Test

x \to 2x + 1

:

For

x = 1

:

2(1) + 1 = 3

.

For

x = 2

:

2(2) + 1 = 5

.

For

x = 3

:

2(3) + 1 = 7

.

All pairs agree, so the rule is

x \to 2x + 1

.

Answer:

D.

x \to 2x + 1

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