Variables and Substitution (HSC SSCE Mathematics Advanced): Quizzes

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Variables and Substitution
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In function notation, what does f(x)f(x) represent?

The output value for the input xx

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

f of x

What is the independent variable in a function f(x)f(x)?

xx, the input that can be chosen freely

In C(n)=12n+50C(n) = 12n + 50, what does the dependent variable CC represent?

The total cost in dollars

What determines the value of the dependent variable in a function?

The input value and the function rule

How do you rewrite y=5x−3y = 5x - 3 using function notation?

f(x)=5x−3f(x) = 5x - 3

For f(x)=x2−4x+7f(x) = x^2 - 4x + 7, what is f(3)f(3)?

44

A function describes a relationship where each input produces how many outputs?

Exactly one output

What is substitution in the context of functions?

Replacing a variable with a value/expression

What type of result does substituting an expression like a+2a + 2 give?

An algebraic expression

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