Functions (AQA A-Level Mathematics): Quizzes

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Language of Functions
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What does the notation f:xx2+2f: x \rightarrow x^2 + 2 mean?

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

What does the symbol N\mathbb{N} represent?

Natural numbers: {1,2,3,}\{1, 2, 3, \ldots\}

What is the domain of a function?

Set of xx values we can feed the function

What is the range of a function?

Set of yy values y=f(x)y = f(x) can take

What is the range of f(x)=2xf(x) = 2 - \sqrt{x} for x0x \geq 0?

f(x)2f(x) \leq 2

Why is g(x)=x+3g(x) = \sqrt{x + 3} with domain xRx \in \mathbb{R} incorrect?

Undefined for x3x \leq -3

What is the range of g(x)=exg(x) = e^x for x2x \geq 2?

g(x)e2g(x) \geq e^2

How do you test if a function is many-to-one?

Draw a horizontal line; if it intersects twice

What type of mapping is f(x)=x2+3f(x) = x^2 + 3 for xRx \in \mathbb{R}?

Many-to-one

Which type of function has no inverse?

Many-to-many

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