Describe the Right-Hand and the Left-Hand Behavior of the Graph $q ( x ) = - \frac { 7 } { 12 } \left( x ^ { 3 } - x ^ { 2 } + 2 x + 1 \right)$

question 44

Multiple Choice

Describe the right-hand and the left-hand behavior of the graph of $q ( x ) = - \frac { 7 } { 12 } \left( x ^ { 3 } - x ^ { 2 } + 2 x + 1 \right)$ .

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

Stimulants

Substances that increase activity in the central nervous system or the sympathetic nervous system, heightening alertness, attention, and energy.

Barbiturates

A class of drugs that act as central nervous system depressants, often used for their sedative, hypnotic, and anticonvulsant properties.

Cocaine

A powerful stimulant drug derived from the leaves of the coca plant, often used illegally for its euphoric effects.

Stimulant

A stimulant is a substance that increases physiological or nervous activity in the body, often used to enhance alertness, attention, and energy.