INTERPRETATION OF CUBIC GRAPHS
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This topic contains 1 reply, has 7 voices, and was last updated by toni 4 years, 8 months ago.

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15 May, 2013 at 23:34 #2493
Learners must sketch cubic graphs in Grade 10 term 2. The simplest cubic function is f(x) = x^3 which is always increasing and flat at the origin.
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
thankyou

7 January, 2015 at 17:38 #9346
Your information was of great importance and very helpful.

7 January, 2015 at 17:40 #9342
Thankyou Toni

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I so wish to know probability I have been teaching grade 12 for most of teaching experience. I need help for especially with independent and dependent invents