9709 - 8 marks | Maths4U

When the reflected segment coincides

8 written marks

Let \(f(x)=5-x\) on \([-1,6]\).

Find the inverse rule and its domain. Explain why the inverse has the same range as \(f\).

Sketch both graphs and \(y=x\), labelling the endpoints and indicating how many distinct segments are visible.

Describe all common points of the two graphs. Separately find the fixed point. Give a common point that is not fixed.

Complete-answer checking, worked solutions and indicative written criteria.