Describe the Right-Hand and the Left-Hand Behavior of the Graph $s ( x ) = 3 x ^ { 5 } + 12 x ^ { 3 } + 3$

question 338

Multiple Choice

Describe the right-hand and the left-hand behavior of the graph of $s ( x ) = 3 x ^ { 5 } + 12 x ^ { 3 } + 3$ .

• A)Because the degree is odd and the leading and the second coefficients are positive, the graph falls to the left and rises to the right.
• B)Because the degree is odd, the leading and the second coefficient are positive, the graph rises to the left and rises to the right.
• C)Because the degree is odd, and the leading coefficient is positive, the graph falls to the left and falls to the right.
• D)Because the degree is odd, and the leading coefficient is positive, the graph rises to the left and falls 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.

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