A curve has equation $y=\mathrm{f}(x)$, where $\mathrm{f}(x)=(2 x+1)(3 x-2)^{2}$. (iii) On the axes below, sketch the graph of $y=\mathrm{f}(x)$, stating the intercepts with the coordinate axes.
Explanation
To sketch the graph of y=f(x), we need to find the x-intercepts and the y-intercept. The x-intercepts can be found by setting y=0 and solving for x. This gives us x = -1/2 and x = 2. The y-intercept can be found by setting x=0 and solving for y. This gives us y = -5. We can then use these intercepts to sketch the graph of y=f(x).
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