(a) Draw the table of values for the relation for the interval . (b) Using a scale of 2 cm to 1 unit on the x- axis and 2 cm to 2 units on the y- axis, draw the graphs of : (i) ; (ii) for . (c) Use your graph to find : (i) the roots of the equation ; (ii) the gradient of at x = -2.
Explanation
(a)
x
-3
-2
-1
0
1
2
3
4
9
4
1
0
1
4
9
16
(b)
x
-3
-2
-1
0
1
2
3
4
2x
-6
-4
-2
0
2
4
6
8
3
3
3
3
3
3
3
3
3
y
-3
-1
1
3
5
7
9
11
(c)(i) The roots of the equation are -1 and 3, from the graph. (ii) The gradient of at x = -2 :