A factored cubic and its modulus
A factored cubic and its modulus
6 marks
TGM Original
Sketch \(y=(x-1)^3\) and \(y=|(x-1)^3|\) on separate axes. Label all axis intersections, indicate crossing or touching at each zero, and state which portions reflect.[6]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:Horizontal intercepts \((1,0)\); vertical intercept \((0,-1)\). The triple root at \(1\) crosses with a flat tangent; negative for \(x<1\). Reflect exactly these negative portions. Modulus vertical intercept \((0,1)\). Every zero is a touching point of the modulus graph.
Need help? Join our JC Math tuition classes.
Learn more