CAIE IGCSE Mathematics Solve Equations Graphically

Review CAIE IGCSE Mathematics solving equations graphically through roots, intersections, suitable straight lines and reading values from curves.

Exam points

draw a suitable straight line to solve cubic or rational equations from intersections
read roots and intersection x-values from curves to the required accuracy
choose line positions or k-values that give one, three or no graphical solutions

[Maximum number: 5]

(a)

The diagram shows the graph of y=f(x) for $-1.5\leqslant x\leqslant5$ .

[ 5 ]

(i)

Solve the equation f(x)=0 for $-1.5\leqslant x\leqslant5$ .
x= or x= or x=

[ 3 ]

(ii)

On the grid, draw a line y=mx so that f(x)=mx has exactly one solution for $-1.5\leqslant x\leqslant5$ .

[ 2 ]

All question bank results loaded