Describe the Right-Hand and the Left-Hand Behavior of the Graph $u ( x ) = - \frac { 3 } { 7 } \left( x ^ { 3 } + 10 x ^ { 2 } - 3 x + 1 \right)$

question 33

Multiple Choice

Describe the right-hand and the left-hand behavior of the graph of $u ( x ) = - \frac { 3 } { 7 } \left( x ^ { 3 } + 10 x ^ { 2 } - 3 x + 1 \right)$ .

• 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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Definitions:

Ink Color

The property or characteristic of an ink that defines its visual perception, which can influence cognitive processing in tasks such as the Stroop test.

Preattentive Process

Cognitive processing that occurs without conscious awareness, quickly analyzing basic features of stimuli in the environment.

Cognition

The mental action or process of acquiring knowledge and understanding through thought, experience, and the senses.

Preattentive Processes

Cognitive processes that occur without conscious awareness, automatically extracting certain elements from the environment.