Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function .
A)down to the far left, up to the far right
B)down to the far left, down to the far right
C)up to the far left, up to the far right
D)up to the far left, down to the far right
E)cannot be determined

Question

Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function  .
A)down to the far left, up to the far right 
B)down to the far left, down to the far right 
C)up to the far left, up to the far right 
D)up to the far left, down to the far right 
E)cannot be determined

Quizplus · Accepted Answer

The leading term of the polynomial function is the term with the highest degree, which in this case is 11e. Since the coefficient of the leading term is positive, the far-left behavior of the graph will be up. As the degree of the polynomial is odd, the far-right behavior will match the far-left behavior, which is down. Therefore, the correct choice is D.

Examine the Leading Term and Determine the Far-Left and Far-Right