The Basics of Functions (Leaving Cert Mathematics): Quizzes

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The Basics of Functions
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12 questions from this quiz

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What is the key rule that defines a function?

One output for each input

What are the three parts of a function machine?

Input, rule, output

What is the domain of a function?

Set of all possible input values

What is the range of a function?

Set of all actual output values

Is {(1,4), (2,5), (3,6), (4,7)} a function?

Yes, each input has one output

Why is {(2,7), (3,8), (3,9), (4,12)} not a function?

Input 3 has two outputs

Which notations represent the same function?

f(x)=2x+4f(x)=2x+4, f:x→2x+4f:x\to 2x+4, y=2x+4y=2x+4

If f(x)=2x+4f(x)=2x+4, what is f(3)f(3)?

10

How does the range relate to the codomain?

Range is a subset of codomain

In the couple (5, 12), which number is the input?

5

In a mapping diagram, what shows that a relation is a function?

Each input maps to exactly one output

If f:x→3x−2f:x\to 3x-2 and domain is {0,1,2}, what is the range?

{-2, 1, 4}

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