Which One of the Following Statements Describes the Shape of the Graph

question 10

Multiple Choice

Which one of the following statements describes the shape of the graph of the function, f(x) = 2x5 - 3x4 + 2x2 - 17x + 31, at the point, x = - 1?

• A)Tangent slopes upwards and graph bends downwards
• B)Tangent slopes downwards and graph bends downwards
• C)Tangent slopes downwards and graph bends upwards
• D)Tangent slopes upwards and graph bends upwards
• E)Tangent is horizontal

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Definitions:

Weight Gain

The increase in body weight over a period of time, which can result from a variety of factors including diet, exercise, and underlying health conditions.

Early Adulthood

A stage of human development that occurs roughly between the ages of 18 to 25, marked by increased independence and responsibility.

Binge Drinking

Heavy episodic drinking; consuming five or more alcoholic beverages in one sitting for men and four drinks in one sitting for women.

Heavy Drinking

The consumption of large quantities of alcohol in a short period, often leading to health risks and addiction.