A function of the form
`f(x)`=`a_nx^n +a_(n-1)x^(n-1) + ...+a_1 x+a_0`
is called a polynomial function. Here n is a non-negative integer and `a_n , a_(n-1) ,... a_2, a_1, a_0` are constant coefficients.
In this section, we briefly discuss the graphs of the polynomial functions.
The graph of the polynomial function f(x) = 0 is the x-axis.Also the graph of a polynomial function f(x) = c is a horizontal line as shown below.
Polynomial of Degree 0
The graph of a polynomial function of the form f(x) = mx + c is a straight line. The slope of this line is m, whereas c is the y-intercept of the line as shown in the figure below.
Polynomial of Degree 1
The graph of a quadratic polynomial function is a parabola. This type of function has a form ` f(x) = a_2x^2 + a_1x + a_0 ` . A graph of such a function is shown in the figure below.
Polynomial of Degree 2
Similarly the graphs of a few higher degree polynomial functions have been shown below.
Polynomial of Degree 3
Polynomial of Degree 4
Polynomial of Degree 5
Polynomial of Degree 6