15 May, 2013 at 23:34 #2493
This is the graph of the cubic function f(x)= x^3 and the graph of the cubic function
g(x)= x^3 – 3x^2 – 10x + 24
which can also be written as
g(x) = (x + 3)(x – 2)(x – 4)
This graph cuts the x axis at x = -3, x = 2 and x = 4.
To find the turning points of a graph you find the values of x where the derivative is zero. As the derivative of a cubic polynomial is a quadratic polynomial, putting this equal to zero gives two solutions so a cubic graph has one maximum and one minimum point and can cut the x axis at one point or at 3 points.
Remember that graphs of polynomials, trig and exponential functions are smooth curves.
Is there any specific question you want to ask about cubic polynomials?
16 July, 2014 at 10:15 #2831
When it comes to interpretation, you must know that roots must three or less but in all essence they must be three. The derivative of a cubic function is a quadratic function as well as derivative of a quadratic is a linear function.
7 January, 2015 at 11:46 #9341
Thank you Toni, that was helpful
7 January, 2015 at 17:36 #9348
Noloyiso Victress SomtsewuParticipant
7 January, 2015 at 17:38 #9346
Naledzani Walter ManenzheParticipant
Your information was of great importance and very helpful.
7 January, 2015 at 17:40 #9342
Khanyiswa Nonqaba MapisaParticipant
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