Last updated on Sep 21, 2026

Logarithmic Graphs (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Logarithmic Graphs

Practise the questions

10 questions from this quiz

Show

What is the x-intercept of any logarithmic function $y = \log_a(x)$ ?

$(1, 0)$

Where is the vertical asymptote of $y = \log_a(x)$ located?

At $x = 0$

What is the domain of any logarithmic function $y = \log_a(x)$ ?

$x > 0$

What is the range of the function $y = \log_a(x)$ ?

All real numbers

Which constraint must the base $a$ satisfy in $y = \log_a(x)$ ?

$a > 0$ and $a \neq 1$

How do larger bases affect the graph of $y = \log_a(x)$ ?

Closer to x-axis, more gradual

What is the relationship between logarithmic and exponential functions?

They are inverse functions

Over which line do exponential and logarithmic functions reflect?

$y = x$

When $a > 1$ , how does the logarithmic function $y = \log_a(x)$ grow?

Slowly

For $y = \log_5(x)$ , what is the y-value when $x = 5$ ?

$1$

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

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

Logarithmic Graphs (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What is the x-intercept of any logarithmic function y=log⁡a(x)y = \log_a(x)y=loga​(x)?

Where is the vertical asymptote of y=log⁡a(x)y = \log_a(x)y=loga​(x) located?

What is the domain of any logarithmic function y=log⁡a(x)y = \log_a(x)y=loga​(x)?

What is the range of the function y=log⁡a(x)y = \log_a(x)y=loga​(x)?

Which constraint must the base aaa satisfy in y=log⁡a(x)y = \log_a(x)y=loga​(x)?

How do larger bases affect the graph of y=log⁡a(x)y = \log_a(x)y=loga​(x)?

What is the relationship between logarithmic and exponential functions?

Over which line do exponential and logarithmic functions reflect?

When a>1a > 1a>1, how does the logarithmic function y=log⁡a(x)y = \log_a(x)y=loga​(x) grow?

For y=log⁡5(x)y = \log_5(x)y=log5​(x), what is the y-value when x=5x = 5x=5?

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 is the x-intercept of any logarithmic function $y = \log_a(x)$ ?

Where is the vertical asymptote of $y = \log_a(x)$ located?

What is the domain of any logarithmic function $y = \log_a(x)$ ?

What is the range of the function $y = \log_a(x)$ ?

Which constraint must the base $a$ satisfy in $y = \log_a(x)$ ?

How do larger bases affect the graph of $y = \log_a(x)$ ?

When $a > 1$ , how does the logarithmic function $y = \log_a(x)$ grow?

For $y = \log_5(x)$ , what is the y-value when $x = 5$ ?