Language of Functions (Edexcel A-Level Mathematics): Quizzes

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Language of Functions
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10 questions from this quiz

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Which set represents the natural numbers?

N={1,2,3,…}\mathbb{N} = \{1, 2, 3, \ldots\}

What is the domain of a function?

The set of xx values we feed the function

Why is g(x)=x+3,x∈Rg(x) = \sqrt{x + 3}, x \in \mathbb{R} an incorrect domain?

Function undefined for x≤−3x \leq -3

What is the range of f(x)=x2+2x+7f(x) = x^2 + 2x + 7 for x∈Rx \in \mathbb{R}?

f(x)≥6f(x) \geq 6

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

y≥e2y \geq e^2

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

f(x)≤2f(x) \leq 2

If f(x)=2−xf(x) = 2 - \sqrt{x} for x≥0x \geq 0, what is ff(4)ff(4)?

22

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

Draw horizontal line; if cuts twice

What type of relation is x2+(y−3)2=9,x>0x^2 + (y-3)^2 = 9, x > 0?

One-to-many

Which type of function has no inverse?

Many-to-many

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