Identify All Intercepts Of $f ( x ) = \frac { x ^ { 2 } + 7 x + 10 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$

question 444

Multiple Choice

Identify all intercepts of $f ( x ) = \frac { x ^ { 2 } + 7 x + 10 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$ .

• A)x-intercept: none; y-intercept: none
• B)x-intercept: \(\left( - \frac { 7 } { 5 } , 0 \right)\) ; y-intercept: none
• C)x-intercept: (-2, 0); y-intercept: (0, -2)
• D)x-intercepts: (-5, 0), (-1,0), (1, 0); y-intercept: (0, -2)
• E)x-intercept: (0, 0); y-intercept: (0, 0)

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Definitions:

Big Six

Often refers to a model in personality psychology that expands on the traditional Big Five personality traits by including a sixth trait, often Honesty-Humility.

Honesty-Humility

Honesty-Humility is a dimension of personality in some models, emphasizing traits related to sincerity, fairness, greed avoidance, and modesty.

Openness to Experience

A personality trait describing the extent to which a person is open to experiencing a variety of activities, engaging in new experiences, and being creative.

Creativity

The ability to produce original and valuable ideas or things.