CAIE IGCSE Additional Math 1.4 Relate Y F X and Y F X Questions

Practise Cambridge IGCSE Additional Mathematics by sketching absolute-value graphs, reflecting branches and identifying exact axis intercepts.

Exam points

Sketch graphs involving absolute values and identify their intercepts accurately.
Use algebraic roots, turning points, reflections and piecewise behaviour to construct absolute-value graphs.
Interpret intersections and axis intercepts from the completed graph using exact coordinates where required.

[Maximum number: 4]

The function f is defined by f(x)=2 x-1 for $x \in \mathbb{R}$ .

On the axes, sketch the graph of $y=\left|\mathrm{f}^{2}(x)\right|$ .

State any intercepts with the coordinate axes.

Figure for Question CAIE IGCSE Additional Math 1.4 Relate Y F X and Y F X Questions question 1 — CAIE IGCSE Additional Math

$\mathrm{f}^{2}(x)=4 x-3$ soi
B1 for correct order of composition

Correct sketch with both intercepts indicated
FT their ( 4 x-3 ) providing B1 has been awarded and the expression is of the form m x+c

B1 FT for correct sketch with one intercept correct

All question bank results loaded

CAIE IGCSE Additional Math 1.4 Relate Y F X and Y F X Questions question 1