Graph the Function, Showing All Asymptotes (Those That Do Not $$f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$$

question 78

Multiple Choice

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and
y-intercepts.
- $$f ( x ) = \frac { x ^ { 2 } - 9 } { x + 2 }$$

• A) \(x\)-intercepts: \(( - 3,0 )\) and \(( 3,0 ) , y\)-intercept: \(\left( 0 , \frac { 9 } { 2 } \right)\)
• B) \(x\)-intercepts: \(( - 3,0 )\) and \(( 3,0 ) , \mathrm { y }\)-intercept: \(\left( 0 , - \frac { 9 } { 2 } \right)\)
• C) x-intercept: \(( 0,0 ) , y\)-intercept: \(( 0,0 )\);
• D) \(x\)-intercept: \(( 0,0 ) , y\)-intercept: \(( 0,0 )\);

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Definitions:

Disposition

An individual's inherent qualities of mind and character, affecting how they perceive and interact with the world around them.

Self-serving Rationalizations

Justifications an individual creates to defend actions or decisions that serve their own interests, often at the expense of truth.

True Intentions

The genuine or actual motivations and goals behind an individual's or group's actions, often as contrasted with stated or apparent objectives.

Alternatives

Refers to the various options or choices available to individuals or organizations when faced with making a decision.