CAIE IGCSE Mathematics Core C2.10 Graphs of Functions Topic Practice

Question 1

[Maximum number: 8]

Question (a)

(a)

Complete the table of values for y=6xy=\frac{-6}{x}.

Table for Question (a) — CAIE IGCSE Mathematics Core
[ 3 ]

Question (b)

(b)
Figure for Question (b) — CAIE IGCSE Mathematics Core

On the grid, draw the graph of y=6xy=\frac{-6}{x} for 6x1-6\leqslant x\leqslant-1 and 1x61\leqslant x\leqslant6.

[ 4 ]

Question (c)

(c)

Use your graph to solve the equation 6x=2.5\frac{-6}{x}=2.5.

x=
[ 1 ]

Question 2

[Maximum number: 1]

The grid shows a line L.

Figure for Question 2 — CAIE IGCSE Mathematics Core

Write down the coordinates of the point which lies on both line L$ and the graph of $y=2x+5.

Question 3

[Maximum number: 9]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 1 ]

Question (i)

(i)

Write down the coordinates of the point where the two lines intersect.
(, )

[ 1 ]

Question (b)

(b)
Table for Question (b) — CAIE IGCSE Mathematics Core

Complete the table of values for y=x2+x8y=x^2+x-8.

[ 2 ]

Question (c)

(c)
Figure for Question (c) — CAIE IGCSE Mathematics Core

On the grid, draw the graph of y=x2+x8y=x^2+x-8 for 4x4-4\leqslant x\leqslant4.

[ 4 ]

Question (d)

(d)

Use your graph to solve the equation x2+x8=0x^{2}+x-8=0.
x= or x=

[ 2 ]
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