(a) Copy and complete the table of values for the relation y=2x\(^2\) - x -...

MATHEMATICS
WAEC 2021

(a) Copy and complete the table of values for the relation y=2x\(^2\) - x - 2 for 4 ≤ x ≤ 4.

x-4-3-2-201234
y19-226

(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.

Explanation

x-4-3-2-201234
y341981-2-141326

(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 < 0is (-0.7±0.1) < x < (1.3±0.1)



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