Describe the Right-Hand and the Left-Hand Behavior of the Graph $t ( x ) = - \frac { 4 } { 7 } \left( x ^ { 3 } + 5 x ^ { 2 } + 8 x + 1 \right)$

question 59

Multiple Choice

Describe the right-hand and the left-hand behavior of the graph of $t ( x ) = - \frac { 4 } { 7 } \left( x ^ { 3 } + 5 x ^ { 2 } + 8 x + 1 \right)$ .

• 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 negative, the graph rises to the left and falls to the right.
• C) Because the degree is odd and the leading coefficient is negative, 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 negative, the graph rises to the left and falls to the right.

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