The Contour Graph and Its Associated Three-Dimensional Graph Are

question 46

Multiple Choice

The contour graph and its associated three-dimensional graph are given below. At does increase when x increases or when x decreases? Justify your answer.

• A) increases in both directions because the contours are parabolic.
• B) increase when x increases because the contours are nearly vertical.
• C) increase when x increases because the contours increase in that direction.
• D) increase when x decreases because the contours are nearly vertical.
• E) increase when x decreases because the contours increase in that direction.

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Definitions:

Assertiveness

The quality of being self-assured and confidently expressing one's rights or opinions without aggression.

Cooperativeness

A willingness to work together towards common goals or interests, often leading to mutually beneficial outcomes.

Competitiveness

The desire to achieve superiority or an advantage over others, often through comparison or competition.

Aggressiveness

A tendency to be assertive, forceful, or potentially harmful in behavior or attitude.