Describe the right-hand and the left-hand behavior of the graph of
A) Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right.
B) Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right.
C) Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right.
D) Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right.
E) Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.

Question

Describe the right-hand and the left-hand behavior of the graph of 
A) Because the degree is odd and the leading coefficient is positive, the graph falls to the left and falls to the right. 
B) Because the degree is odd and the leading coefficient is positive, the graph rises to the left and falls to the right. 
C) Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. 
D) Because the degree is odd and the leading coefficient is positive, the graph rises to the left and rises to the right. 
E) Because the degree is even and the leading coefficient is positive, the graph rises to the left and rises to the right.

Quizplus · Accepted Answer

Because the degree is odd and the leading coefficient is positive, the graph falls to the left and rises to the right. This is because for large negative x-values, the polynomial becomes large negative numbers, causing the graph to fall. For large positive x-values, the polynomial becomes large positive numbers, causing the graph to rise.

Describe the Right-Hand and the Left-Hand Behavior of the Graph