The diagram shows the curve with equation The point A has coordinates (0.6, 0.8).The points B, C

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The diagram shows the curve with equation


image


The point A has coordinates (0.6, 0.8).The points B, C and D lie on the curve with x-coordinates 0.7, 0.8 and 0.9 respectively.


image


a. Verify that point A lies on the curve.


b. Use a ruler to estimate the gradient of the curve at point A.


c. Find the gradient of the line segments:


i. AD


ii. AC


iii. AB


d. Comment on the relationship between your answers to parts b and c.

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