(a)(i) Use the table to find the values of p and q. (ii) Copy and complete the table. (b) Using scales of 2cm to 1 unit on the x- axis and 2 cm to 5 units on the y- axis, draw the graph of the relation for . (c) Use the graph to find : (i) y when x = 1.8 ; (ii) x when y = -8.
Explanation
(a) (i)
x
-3
-2
-1
0
1
2
3
4
5
y
21
6
-12
0
13
From the table, y = -12 when x = 0, i.e. . y = 0 when x = 4, i.e. Substitute q = -12 in (1), Equation : . (ii) Given the equation . The table becomes
x
-3
-2
-1
0
1
2
3
4
5
y
21
6
-5
-12
-15
-14
-9
0
13
(b) (c) From the graph, (i) When x = 1.8, y = -14.5 ; (ii) When y = -8, x = -0.65 or 3.15 or 3.2.
