Investigate the cubic functions of f(x) = ax^3 + bx^2 + cx + d which will pass through the points of A = (1,4) B = (2,2) C = (4, 1.5)
Now explore the effect of 'd' on the behaviour of the cubic functions. Identify a value of 'd' that gives a cubic function which closely matches the quartic function that passes through these same three points (A,B,C). You will need to explain how you have measured 'closely', paying particular attention to the domain.
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You can find the function by substituting the ordered pairs into the general equation for a ...
A problem investigating the cubic functions is calculated in a step-by-step format.