Lesson Activities Forums Teacher’s Discussion Forum INTERPRETATION OF CUBIC GRAPHS

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

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  • #2493
    toni
    toni
    Keymaster

    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?

  • #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.

  • #9341
    Avatar
    MacDonald Chapwanya
    Participant

    Thank you Toni, that was helpful

  • #9348

    thankyou

  • #9346

    Your information was of great importance and very helpful.

  • #9342

    Thankyou Toni

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One Response to INTERPRETATION OF CUBIC GRAPHS

  1. Avatar Dumisani Xoko says:

    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

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