Last updated on Sep 20, 2026

Applications of Functions (VCE SSCE Mathematical Methods): Quizzes

Applications of Functions

Practise the questions

10 questions from this quiz

Situations where rates change at thresholds

Physical constraints limit possible values

Additional distance beyond first km

$18 - 2x$ cm

$18 - 2x \geq 0$ giving $x \leq 9$

$\frac{x}{9} = \frac{12-y}{12}$

$A(x) = 2x(12 - \frac{12x}{9})$

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

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Applications of Functions (VCE SSCE Mathematical Methods): Quizzes

Practise the questions

What are piecewise functions particularly useful for modeling?

Why must domain be carefully considered in real-world function applications?

For the taxi fare (1.75 USD up to 1 km, +0.75 USD/km after), what is the cost for 2 km?

In the taxi fare function for x>1x > 1x>1, what does (x−1)(x-1)(x−1) represent?

In the box problem (18 × 24 cm cardboard, cut xxx cm squares), what is the width after folding?

For the box problem, which constraint gives the most restrictive upper bound for xxx?

For triangle with base 18 cm and slant 15 cm, what is height using h=152−92h = \sqrt{15^2 - 9^2}h=152−92​?

In the inscribed rectangle problem, which proportion relates xxx and yyy using similar triangles?

What is the area function for the inscribed rectangle after substituting y=12−12x9y = 12 - \frac{12x}{9}y=12−912x​?

What is the domain for the inscribed rectangle area function?

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Power Functions

Applications of Functions

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Relations, Domain and Range

One-to-One Functions and Implied Domains

Piecewise-Defined Functions

Applying Function Notation

Set Notation and Sets of Numbers

Sums and Products of Functions

Composite Functions

Inverse Functions

Power Functions

Applications of Functions

Power Functions

Applications of Functions

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

In the taxi fare function for $x > 1$ , what does $(x-1)$ represent?

In the box problem (18 × 24 cm cardboard, cut $x$ cm squares), what is the width after folding?

For the box problem, which constraint gives the most restrictive upper bound for $x$ ?

For triangle with base 18 cm and slant 15 cm, what is height using $h = \sqrt{15^2 - 9^2}$ ?

In the inscribed rectangle problem, which proportion relates $x$ and $y$ using similar triangles?

What is the area function for the inscribed rectangle after substituting $y = 12 - \frac{12x}{9}$ ?