2. Suppose that a polynomial function y = f(x) has local approximations at its x-intercepts given by: i. The local approximation at x = 0, is given by y = 2x² ii. The local approximation at x = 3, is given by y = (x – 3)² iii. The local approximation at x = 6, is given by y = 4x3 a) Sketch the graph of a polynomial, having the lowest degree, that displays the above three constraints b) Determine the y-intercept of the polynomial function

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: