ECZ 2020 · O-Level Paper 2 · Question 7 — Graphs of Functions
The values of x and y are connected by the equation y = x3 + 4x2 + x - 5 as shown in the table below. x-4-3-2-1012y-911-3-51p
(a(i)) Calculate the value of p.[1]
Verified working — step 1
Substitute x = 2 into y = …(a(ii)) Using a scale of 2 cm to represent 1 unit on the x-axis and 2 cm to represent 5 units on the y-axis for -4 <= x <= 2 and -10 <= y <= 25, draw the graph of y = x3 + 4x2 + x - 5.[3]
Verified working — step 1
Plot the seven points from the completed ta…(a(iii)(a)) Use your graph to find the solutions of the equation x3 + 4x2 + x - 5 = 0.[2]
Verified working — step 1
The solutions are the x-int…(a(iii)(b)) Use your graph to find the solutions of the equation x3 + 4x2 + x - 5 = 2x + 4.[3]
Verified working — step 1
Draw the line y = …(b) Express 42x - 1- 13x + 2as a single fraction in its lowest terms.[3]
Verified working — step 1
Common denominator (2x - 1)(3x + 2):The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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