Answer:
Question i)
If y = 4x² - 4x - 1
and 4x² - 4x - 1 = 0
then y = 0
Therefore, we need to find the points on the curve where y = 0.
From inspection of the graph these are approximately when x = -0.25 and x = 1.25
So estimates of the solutions are (-0.25, 0) and (1.25, 0)
Question ii)
If y = 4x² - 4x - 1
and 4x² - 4x - 1 = 2
then y = 2
Therefore, we need to find the points on the curve where y = 2.
From inspection of the graph these are approximately when x = -0.5 and x = 1.5
So estimates of the solutions are (-0.5, 2) and (1.5, 2)
