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Aim: To find out where the tangent lines at the average of any two roots intersect the curve again in cubic functions. Functions with Three Roots
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Zeros of Cubic Functions Chun Yu Lai Aim: To find out where the tangent lines at the average of any two roots intersect the curve again in cubic functions. Functions with Three Roots *The first example is the function taken from the task sheet. There will be detailed explanation on my working steps, and the rest of the investigation will follow up the same format. Example 1- (The first derivative of the original function will allow me to find out the slope value, "m" at any given x value) Roots = -3, -1.5, 1.5 (I found out the roots of the function by using the graph calculator) 1. Roots -3 & -1.5 (Two roots are taken at a time to find out where the tangent line at the average of these two roots intersects the original cubic function again. Same steps will be taken, but with other combination pair of roots to prove that my observations...
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