Complete the table of values for y = (x/20)(x² - 10). X 0 1 2 3 4 5 y 0 -0.45 -0.6 -0.15 1.2

1. (a)Complete the table of values for y = (x/20)(x² - 10). X 0 1 2 3 4 5 y 0 -0.45 -0.6 -0.15 1.2 [1]
2. (b)Using a scale of 2 cm to 1 unit on both axes, draw the graph of y = (x/20)(x² - 10) for 0 ≤ x ≤ 5. [Figure showing a grid with x and y axes][2]
3. (c)By drawing a tangent, estimate the gradient of the curve at the point where x = 2.5 .[2]
4. (d)Use your graph to solve the equation (x/20)(x² - 10) = 0 for 0 ≤ x ≤ 5.[2]
5. (e)(i)The graph of y = (x/20)(x² - 10), together with the graph of a straight line L, can be used to solve the equation x³ + 10x - 80 = 0 for 0 ≤ x ≤ 5. Find the equation of line L.[2]
6. (e)(ii)Draw the graph of line L on the grid.[1]
7. (e)(iii)Hence solve the equation x³ + 10x - 80 = 0 for 0 ≤ x ≤ 5.[1]

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