Introduction to Functions and Relations (HSC SSCE Mathematics Advanced): Flashcards

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Variables and Substitution
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What does f(x)f(x) represent?

The output value corresponding to input xx

How is f(x)f(x) read aloud?

f of x

Define independent variable

Variable representing input values, chosen freely

Define dependent variable

Variable representing output, depends on input and function rule

In f(x)f(x), what type of variable is xx?

Independent variable (input)

In y=f(x)y = f(x), what type of variable is yy?

Dependent variable (output)

What is substitution in functions?

Replacing a variable with a value/expression, then simplifying

How to evaluate f(a)f(a) from f(x)f(x)?

Replace xx with aa and simplify

How many outputs per input in a function?

Exactly one output per input

What determines the dependent variable's value?

The input value and the function rule

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