Determine the X Values That Cause the Function to Be $$f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }$$

question 287

Multiple Choice

Determine the x values that cause the function to be (a) zero, (b) undefined, (c) positive, and (d) negative.
- $$f ( x ) = \frac { ( 2 x - 9 ) ( x + 3 ) } { x + 4 }$$

• A) (a) \(\left\{ - 3 , \frac { 9 } { 2 } \right\}\) (b) \(\{ - 4 \}\), (c) \(( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)\), (d) \(( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)\)
• B) (a) \(\{ - 4 \}\), (b) \(\left\{ - 3 , \frac { 9 } { 2 } \right\}\), (c) \(( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)\), (d) \(( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)\)
• C) (a) \(\left\{ - 3 , \frac { 9 } { 2 } \right\} (\) b \() \{ - 4 \} , \left( \right.\) c) \(( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)\), (d) \(( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)\)
• D) (a) \(\{ - 4 \}\), (b) \(\left\{ - 3 , \frac { 9 } { 2 } \right\}\), (c) \(( \infty , - 4 ) \cup \left( - 3 , \frac { 9 } { 2 } \right)\), (d) \(( - 4 , - 3 ) \cup \left( \frac { 9 } { 2 } , \infty \right)\)

Examine the impact of cognitive heuristics on everyday behavior and societal judgments.

Discuss the errors in judgment that can arise from the misapplication of specific heuristics.

Explore the relationship between affect and decision-making through the affect heuristic.

Analyze the role of System-2 thinking in promoting informed, reasoned, and thoughtful problem-solving.

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Definitions:

Labor

The physical and mental effort used in the production of goods and services.

Slope

In mathematics and economics, it represents the rate at which a variable changes over the change in another variable, often depicted as a line on a graph.

Absolute Value

A mathematical term describing the magnitude of a number regardless of its sign; the distance of a number from zero on the number line.

Indeterminate

A situation or problem that cannot be resolved due to insufficient or conflicting information.