(a) Copy and complete the table of values for the relation y=2x\(^2\) - x - 2 for 4 ≤ x ≤ 4.
x
-4
-3
-2
-1
0
1
2
3
4
y
19
-2
26
(b) Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = 2x\(^2\) - x - 2 for 4 ≤ x ≤ 4.
(c) On the same axes, draw the graph of y = 2x + 3.
(d) Use the graph to find the: (i) roots of the equation 2x-3r-5 0; (i) range of values of x for which 2x\(^2\) -x - 2<0.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
x
-4
-3
-2
-1
0
1
2
3
4
y
34
19
8
1
-2
-1
4
13
26
SEE THE GRAPH ABOVE
(c) Straight line graph of y = 2x + 3
(d) The roots of 2x\(^2\) -3x - 5 = 0 are x = -1 ± 0.1 or 2.5 ± 0.1
(ii) The range of values of x for which - x - 2 < 0 is (-0.7± 0.1) < x < (1.3 ± 0.1)
Source: WAEC / JAMB / NECO Classroom Archive (Record #61504)