Last updated on Sep 21, 2026

Further Domain and Range (HSC SSCE Mathematics Advanced): Quizzes

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Further Domain and Range

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What does the domain of a function represent?

All possible input values ( $x$ -values)

What does the range of a function represent?

All possible output values ( $y$ -values)

In interval notation, what do square brackets $[ ]$ indicate?

The endpoint is included

Convert $[3, 7)$ to inequality notation.

$3 \leq x < 7$

Convert $-4 < y \leq 2$ to interval notation.

$(-4, 2]$

What does the union symbol $\cup$ mean when used in interval notation?

Combining separate intervals into one set

Which restriction must always be checked when finding the domain of a relation?

Division by zero

Express 'all real numbers from $-5$ to 1, inclusive' in interval notation.

$[-5, 1]$

What type of interval is $(a, b)$ ?

Open interval (endpoints excluded)

For $y = \frac{1}{x^2 - 9}$ , which $x$ -values must be excluded from the domain?

$x = 3$ and $x = -3$

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Further Domain and Range (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What does the domain of a function represent?

What does the range of a function represent?

In interval notation, what do square brackets [][ ][] indicate?

Convert [3,7)[3, 7)[3,7) to inequality notation.

Convert −4<y≤2-4 < y \leq 2−4<y≤2 to interval notation.

What does the union symbol ∪\cup∪ mean when used in interval notation?

Which restriction must always be checked when finding the domain of a relation?

Express 'all real numbers from −5-5−5 to 1, inclusive' in interval notation.

What type of interval is (a,b)(a, b)(a,b)?

For y=1x2−9y = \frac{1}{x^2 - 9}y=x2−91​, which xxx-values must be excluded from the domain?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

In interval notation, what do square brackets $[ ]$ indicate?

Convert $[3, 7)$ to inequality notation.

Convert $-4 < y \leq 2$ to interval notation.

What does the union symbol $\cup$ mean when used in interval notation?

Express 'all real numbers from $-5$ to 1, inclusive' in interval notation.

What type of interval is $(a, b)$ ?

For $y = \frac{1}{x^2 - 9}$ , which $x$ -values must be excluded from the domain?