FeaturesHow It WorksFor ParentsPricingContactLog inStart free β€” no credit card needed β†’

Specialist Mathematics Β· Unit 2 Β· Trigonometry and functions Β· Sketching graphs

Understand and use the relationship between the graph of 𝑦 = 𝑓(π‘₯) and the graphs of 𝑦 = 1 𝑓(π‘₯), 𝑦 = |𝑓(π‘₯)| and 𝑦 = 𝑓(|π‘₯|).

Practise this objective

AI-marked practice questions tied to QCAA mark schemes for this exact LO. Free to start.

Start free practice

Practice questions for this objective

Full questions, answers and worked solutions unlock when you start a free practice session.

Question 1

Consider the function \(f(x) = 2x - 4\) with domain \([-3, 5]\). What is the range of \(g(x) = |f(x)|\)?

Worked answer
πŸ”’ Start free to see full answer
Question 2

The graph of \(y = f(x)\) is shown below. Which option correctly represents the graph of \(y = |f(x)|\)?

Worked answer
πŸ”’ Start free to see full answer
Unlock all 2 answers β€” free

More in Sketching graphs

Next β†’
Use and apply the notation |π‘₯| for the absolute value for the real number π‘₯ and the graph of 𝑦 = |π‘₯|.
All LOs in Sketching graphsBack to full Specialist Mathematics syllabus