1.40: Estimate roots using a graph

(a) Complete the table of values for $y=x+\dfrac6{x^2}$. Give your answers to 2 decimal places where necessary.

(b) On the grid opposite, draw the graph of $y=x+\dfrac6{x^2}$ for $1\le x\le3$. (2)

(c) By drawing a suitable straight line on the grid, obtain estimates, to 1 decimal place, for the solutions of the equation $x^3-3x^2+3=0$ in the interval $1\le x\le3$. (4)