There are x-intercepts at x=0 and at x=p. There is a maximum at point A where x=a, and a point of inflexion at point B where x=b. a. Find the value of p. b. Write down the coordinates of A. c. Find the equation of the tangent to the graph of f at A. d. Find the coordinates of B. e. Find the rate of change of f at B.
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Since there are x-intercepts at x=0 and x=p, we know that the function has the form f(x) = kx(x-p) for some constant k. Show more…
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