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2021 WAEC Mathematics Theory (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 -2 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.

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Explanation
x -4 -3 -2 -2 0 1 2 3 4
y 34 19 8 1 -2 -1 4 13 26

 

Open photo

(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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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free