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Upper secondary · Functions

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What to practise

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Learning objective: Relate input values to a function’s output.

In f(x) = mx + b, m is the gradient and b is the intercept.

Worked example

f(x) = 2x + 3 → f(4) = 11

Practise and check

Activity 1

f(x) = 3x − 2 → f(5) = ?

Show step-by-step solution

f(5) = 15 − 2 = 13.

Activity 2

f(x) = −x + 6 → f(2) = ?

Show step-by-step solution

f(2) = −2 + 6 = 4.

Activity 3

g(x) = x² − 1 → g(3) = ?

Show step-by-step solution

g(3) = 9 − 1 = 8.

Learning tip: In f(x) = mx + b, m is the gradient and b is the intercept.

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Learning guide

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