Function notation (AQA GCSE Further Maths): Quizzes

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Function notation
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What does function notation f(x)f(x) represent?

A relationship between inputs & outputs

What is the fundamental rule that defines a function?

Exactly one output for every input

Why is f(x)=±x2f(x) = ±x^2 NOT a function?

One input gives two outputs

If f(x)=x2+2f(x) = x^2 + 2, what is f(5)f(5)?

27

If f(x)=10−4xf(x) = 10 - 4x, what is f(−1)f(-1)?

14

If g(x)=x3g(x) = x^3, what is g(12)g(\frac{1}{2})?

18\frac{1}{8}

A function machine squares input then adds 2. What is the function rule?

f(x)=x2+2f(x) = x^2 + 2

If f(x)=10−4xf(x) = 10 - 4x, what is f(3x)f(3x)?

10−12x10 - 12x

If g(x)=x3g(x) = x^3 and g(x)=−64g(x) = -64, what is x?

-4

If f(x)=x2+2f(x) = x^2 + 2, what is f(−2)f(-2)?

6

What is the key technique for evaluating functions?

Substitution

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