Let us create a sample polynomial of cubic order to solve the problem
To find the x-intercepts of the equation, we need to substitute W(x) = y = 0
The values of x obtained after solving the equation are the x-intercepts
To plot the graph, we first need to find the inflection or critical points to see where the graph is changing the concavity
solving the equation will give us the critical points and inflection points, now we can see the points where the graph is increasing and decreasing.
Now find the value of function at all critical points, inflection point, x intecepts and the +,- infinity and plot a smooth graph connecting all the points
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