Math Visualization with points

A general Polynomial function of degree 4 is given below.

We explore all the possible polynomial functions up to the 4th degree using the tool given below the equation. Here in this tool, we plot the graph of a polynomial by selecting the coefficients.

A polynomial of degree 1 is called a linear polynomial and to get we select a=b=c=0 and vary “d” and “e” and the respective plot is drawn in the graphing area of the tool. from the graph, we can observe the variation of the x-intercept with “d” and “e” variation.

This way one can easily understand the geometrical meaning of different polynomials and find their solutions

ax^4+bx^3+cx^2+dx+e

Challenge

Look at the following graphs of polynomial functions. Try to find the appropriate polynomial function for each of the figure given below. This can be achieved with the tool given above. Share your experience in comments

Math Visualization with points

ax^4+bx^3+cx^2+dx+e

Challenge

Figure 1

Figure 2

Figure 3

Figure 4