Last updated on Sep 21, 2026

Absolute Value Functions (HSC SSCE Mathematics Advanced): Quizzes

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Absolute Value Functions

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What is the general form of an absolute value function?

$f(x) = |ax + b|$ where $a \neq 0$

What is the vertex location of $f(x) = |ax + b|$ ?

$\left(-\frac{b}{a}, 0\right)$

What is the range of any absolute value function $f(x) = |ax + b|$ ?

$y \geq 0$

What is the domain of $f(x) = |ax + b|$ ?

All real numbers ( $\mathbb{R}$ )

What shape does the graph of an absolute value function form?

V-shape opening upward

How does parameter $a$ affect the graph when $|a|$ is larger?

The arms become steeper

How many solutions does $|ax + b| = k$ have when $k > 0$ ?

Two solutions

How many solutions does $|ax + b| = k$ have when $k < 0$ ?

No solutions

Where is the axis of symmetry for $f(x) = |ax + b|$ ?

$x = -\frac{b}{a}$

What is the first step in solving $2|x + 1| + 3 = 21$ ?

Isolate the absolute value expression

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Absolute Value Functions (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the general form of an absolute value function?

What is the vertex location of f(x)=∣ax+b∣f(x) = |ax + b|f(x)=∣ax+b∣?

What is the range of any absolute value function f(x)=∣ax+b∣f(x) = |ax + b|f(x)=∣ax+b∣?

What is the domain of f(x)=∣ax+b∣f(x) = |ax + b|f(x)=∣ax+b∣?

What shape does the graph of an absolute value function form?

How does parameter aaa affect the graph when ∣a∣|a|∣a∣ is larger?

How many solutions does ∣ax+b∣=k|ax + b| = k∣ax+b∣=k have when k>0k > 0k>0?

How many solutions does ∣ax+b∣=k|ax + b| = k∣ax+b∣=k have when k<0k < 0k<0?

Where is the axis of symmetry for f(x)=∣ax+b∣f(x) = |ax + b|f(x)=∣ax+b∣?

What is the first step in solving 2∣x+1∣+3=212|x + 1| + 3 = 212∣x+1∣+3=21?

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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 is the vertex location of $f(x) = |ax + b|$ ?

What is the range of any absolute value function $f(x) = |ax + b|$ ?

What is the domain of $f(x) = |ax + b|$ ?

How does parameter $a$ affect the graph when $|a|$ is larger?

How many solutions does $|ax + b| = k$ have when $k > 0$ ?

How many solutions does $|ax + b| = k$ have when $k < 0$ ?

Where is the axis of symmetry for $f(x) = |ax + b|$ ?

What is the first step in solving $2|x + 1| + 3 = 21$ ?