To sketch any polynomial function, you can start by finding the real zeros of the function and end behavior of the function .
Steps involved in graphing polynomial functions:
The graphs of the polynomial functions satisfy the vertical line test .
Graph the polynomial function x3 – 2x2 – 3x .
Predict the end behavior of the function.
The degree of the polynomial function is odd and the leading coefficient is positive.
The degree of the polynomial is 3 and there would be 3 zeros for the functions.
The function can be factored as x ( x + 1)( x – 3). So, the zeros of the functions are x = –1, 0 and 3.
Make a table of values to find several points.
Plot the points and draw a smooth continuous curve to connect the points