The above function is an example of polynomial function. In this function, the value of n must be a non-negative integer (or zero). and are coefficients and are real numbers. The degree of the polynomial function is highest for value n, however, here must be not equal to zero.
The above figure shows the graph of different polynomial functions.
is said as the zero polynomial function and the graph of it is represented by x-axis.
i.e. is a zero degree polynomial function and the graph of it is represented by a line parallel to x-axis (light green). The y-intercept for this is 6.
is a degree one polynomial function, which is also said as linear function. The graph of this is an oblique line. The y-intercept for this is 6 and the x-intercept for this is (-6/5). The slope of this linear equation is 5.
Than the new function will be a zero degree polynomial function as shown in figure and the graph of it is represented by a line parallel to x-axis.
Than the graph of new function will shift by 4 in right side of x-axis and will be an oblique line.