(a) Sketch the curve \(y = 5 ^ { x - 1 }\), showing the coordinates of any points of intersection with the coordinate axes.
(b) Find, to 3 significant figures, the \(x\)-coordinates of the points where the curve \(y = 5 ^ { x - 1 }\) intersects
the straight line \(y = 10\),
the curve \(y = 2 ^ { x }\).
$$f ( x ) = 2 x ^ { 3 } + 3 x ^ { 2 } - 6 x + 1 .$$