For the given graph describe the end behavior determine whet

For the given graph, describe the end behavior. determine whether it represents an odd degree or even-degree polynomial function, and state the number of real zeros.

Solution

a. The graph falls both to the left and to the right. In the end behaviour of the graph, f(x) ( - ) as x and f(x)(- ) as x( -)

b. Since the graph falls both to the left and the right, it is the graph of an even degree polynomial with a negative leading coefficient.

c. The graph meets the X –Axis twice, so that it has two X –intercepts. i.e. two real zeroes.