Year 11 Maths Advanced Module 1 Module Quiz

Module 1 Quiz

This quiz covers the entire Functions module: working with functions, inverses & composites, and graph transformations (Lessons 1–15).

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Module 1 Summary

  • IQ1, Working with Functions: function notation, domain & range, piecewise & absolute value, odd & even functions
  • IQ2, Inverses & Composites: finding inverses, restricting domains, composite functions $f(g(x))$
  • IQ3, Graph Transformations: translations, reflections, dilations, combined transformations, sketching, $|f(x)|$, $f(|x|)$, $\frac{1}{f(x)}$
Tip: You can retry this quiz as many times as you like. Use it to identify weak areas and revisit the corresponding lessons.
MC

Multiple Choice

15 questions, feedback shown immediately

Q11 MARK

Which relation is a function?

Q21 MARK

If $f(x) = 2x^2 - 3x$, what is $f(-2)$?

Q31 MARK

The domain of $f(x) = \sqrt{x - 4}$ is:

Q41 MARK

The range of $f(x) = (x - 2)^2 + 5$ is:

Q51 MARK

For $f(x) = |x - 3|$, which statement is true?

Q61 MARK

If $f(x) = x^2$ and $g(x) = x + 1$, then $f(g(x))$ equals:

Q71 MARK

If $f(x) = 3x - 7$, then $f^{-1}(x)$ is:

Q81 MARK

Which function is even?

Q91 MARK

Which function is odd?

Beyond the syllabus. Q10 and Q11 both turn on the inverse function: what makes one exist, and how a domain restriction creates one. Inverse functions are Mathematics Extension 1 Year 11 (ME1-11-01), not Advanced at any year, and the only “inverse” in MAV-11-01 is inverse variation. The rest of this quiz is in scope and is what you are assessed on: functions and relations, notation and evaluation, domain and range, piecewise and absolute-value functions, odd and even functions, composite functions and their domains, lines, parabolas, cubics, reciprocal functions, circles, simultaneous equations and modelling. Answer Q10 and Q11 for the practice, but they count toward neither MAV-11-01 nor MAV-11-02.
Q101 MARK

A function has an inverse function only if it is:

Q111 MARK

To make $f(x) = x^2$ have an inverse function, a valid domain restriction is:

Q121 MARK

The graph of $y = f(x) + 4$ is the graph of $y = f(x)$ shifted:

Q131 MARK

The graph of $y = f(x - 2)$ is the graph of $y = f(x)$ shifted:

Q141 MARK

If $f(x) = 1/(x - 3)$, which value is excluded from the domain?

Q151 MARK

If $f(x) = 2x + 1$ and $g(x) = x^2$, then $g(f(2))$ equals:

Module 1 Complete

Congratulations on finishing the Module 1 Quiz.

Review any incorrect answers and revisit the corresponding lessons to solidify your understanding before moving to Module 2.

Mark module as complete

Tick when you're ready to move on to Module 2.