1.19: Estimate roots using a graph

(a) Complete the table of values for $y = \frac{x}{2} + 6\mathrm{e}^{-2x} + 1$
giving your answers to one decimal place.

(b) On the grid opposite, draw the graph of $y = \frac{x}{2} + 6\mathrm{e}^{-2x} + 1$ for $0 \leq x \leq 6$

(c) By drawing a suitable straight line on your graph, obtain estimates, to one decimal place, of the roots of the equation

Only use this grid if you need to redraw your graph.