CAIE IGCSE Mathematics Core C2.10 Graphs…nctions

Covered syllabus points

[Maximum number: 6]

(a)

Complete the table of values for $y=x^{2}-4$ .

[ 2 ]

(b)

On the grid, draw the graph of $y=x^{2}-4$ for $-4 \leqslant x \leqslant 4$ .

[ 4 ]

[Maximum number: 5]

The diagram shows a right-angled triangle.

NOT TO SCALE

Calculate the value of x.

9.04 or 9.042 to 9.043

M1 for $\tan 37^\circ=\frac{x}{12}$ or better
or $\tan 53^\circ=\frac{12}{x}$ or better

(a)

On the grid, draw the graph of $y=\frac{12}{x}$ for $-4 \leqslant x \leqslant-1$ and $1 \leqslant x \leqslant 4$ .

[ 4 ]

(b)

Use your graph to write down the solution of the equation $\frac{12}{x}=10$ .

[ 1 ]

[Maximum number: 8]

(a)

Complete the table of values for $y=x^{2}-x-5$ .

x: -3, -2, -1, 0, 1, 2, 3, 4
y: ......, 1, -3, ......, ......, -3, 1, ......

[ 2 ]

(b)

On the grid, draw the graph of $y=x^{2}-x-5$ for $-3 \leqslant x \leqslant 4$ .

[ 4 ]

(c)

Use the graph to solve the equation $x^{2}-x-5=0$ .
x= or x=

[ 2 ]

[Maximum number: 1]

The diagram shows a right-angled triangle.

NOT TO SCALE

Calculate the value of x.

Use your graph to write down the solution of the equation $\frac{12}{x}=10$ .

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