Students were asked over to answer a question at academics and to state what is most important for them to succeed. One that response stood out from the rest was practice. Successful people are not born successful; they become successful by just hard work and determination. This is how you can complete your goals. in the following paragraphs are one of the answer and question example that you could possibly use to practice and elevate your knowledge and also give you insights that could assist you to preserve your study in school.
Which of the following graphs could represent a cubic function?
A function is called cubic function if highest degree of polynomial containing one variable is 3.
And if you draw the graph of Cubic function in wo dimensional coordinate plane, it will cut x axis at three points.
A cubic polynomial has either 1 real root , 2 real root , or all real root. As imaginary root occur in pairs, so the cubic function has either 1 real root ,when 2 roots are non real, 2 real or all real root.
As, graph A , cuts X axis at one point , that is At , x=0 only.As, it can have all roots equal to 0 or 2 non real roots which are imaginary.It is the curve, y=x³
Similarly, graph B , cuts X axis at one point , that is At , x=0 only, it is the graph of parabola.so there are no chances that it will cross the X axis again.
When, you look at the graph C, it cuts X axis at three points, so it could be graph of cubic polynomial.
Curve D , represents a straight line.
Option A as well as Option C, are graphs of cubic polynomial.
They may hopefully help the student sort out the question by working with the questions and answer examples. Then would possibly have some sharing in a group discussion and also study with the classmate with regards to the topic, so another student also attain some enlightenment and still keeps up the school learning.