Last updated on Sep 20, 2026

Function Properties (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Even and Odd Functions

Practise the questions

10 questions from this quiz

Show

What algebraic condition must hold for $f(x)$ to be an even function?

$f(-x) = f(x)$

What algebraic condition must hold for $f(x)$ to be an odd function?

$f(-x) = -f(x)$

What graphical symmetry do even functions display?

Reflective symmetry about the y-axis

What graphical symmetry do odd functions display?

180° rotation about the origin

Which function is a classic example of an even function?

$f(x) = x^2$

Which function demonstrates odd function behaviour?

$f(x) = x^3$

What is the first step in testing whether a function is even, odd, or neither?

Substitute $-x$ into the function

Why is $f(x) = x^2 + x$ neither even nor odd?

It contains both even and odd power terms

If $f(x)$ is even and $(2, 5)$ is on the graph, which point is also on the graph?

$(-2, 5)$

If $f(x)$ is odd and $(3, 4)$ is on the graph, which point is also on the graph?

$(-3, -4)$

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.

Function Properties (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What algebraic condition must hold for f(x)f(x)f(x) to be an even function?

What algebraic condition must hold for f(x)f(x)f(x) to be an odd function?

What graphical symmetry do even functions display?

What graphical symmetry do odd functions display?

Which function is a classic example of an even function?

Which function demonstrates odd function behaviour?

What is the first step in testing whether a function is even, odd, or neither?

Why is f(x)=x2+xf(x) = x^2 + xf(x)=x2+x neither even nor odd?

If f(x)f(x)f(x) is even and (2,5)(2, 5)(2,5) is on the graph, which point is also on the graph?

If f(x)f(x)f(x) is odd and (3,4)(3, 4)(3,4) is on the graph, which point is also on the graph?

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

What algebraic condition must hold for $f(x)$ to be an even function?

What algebraic condition must hold for $f(x)$ to be an odd function?

Why is $f(x) = x^2 + x$ neither even nor odd?

If $f(x)$ is even and $(2, 5)$ is on the graph, which point is also on the graph?

If $f(x)$ is odd and $(3, 4)$ is on the graph, which point is also on the graph?