Functions and Relations (Grade 12 NSC Matric Mathematics): Quizzes

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Functions and Relations
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What is the fundamental rule that distinguishes a function from a general relation?

Every input has exactly one output

In function terminology, what is the domain?

The set of all possible input values

Which type of function is y=x2y = x^2?

Many-to-one function

Why is the circle equation x2+y2=4x^2 + y^2 = 4 not a function?

One x-value gives two y-values

In the vertical line test, when does a graph represent a function?

When vertical lines intersect at most once

What does the notation f(3)f(3) mean?

Substitute x=3x = 3 into function ff

If f(x)=3x−5f(x) = 3x - 5, what is f(3)f(3)?

44

What does the inverse function f−1f^{-1} do?

Performs the reverse operation of ff

Which type of function can have an inverse function?

One-to-one functions only

What is the second step when finding an inverse function?

Interchange xx and yy variables

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