Determine Whether the Given Curve Is the Graph of a Function

question 44

Multiple Choice

Determine whether the given curve is the graph of a function of $x$ . If it is, state the domain and range of the function.

• A) Function, domain: \(( - \infty , - 2 ) \cup ( - 2 , \infty )\) , range: \([ 2 , \infty )\)
• B) Function, domain: \(( - \infty , - 2 ) \cup ( 2 , \infty )\) , range: \([ - 2 , \infty )\)
• C) Function, domain: \(( - \infty , 0 )\) , range: \([ 2 , \infty )\)
• D) Function, domain: \(( - \infty , - 2 ) \cup ( 0 , \infty )\) , range: \([ - 2 , \infty )\)
• E) Not a function

---

Definitions:

Acts of God

Natural catastrophic events, such as earthquakes, floods, or hurricanes, that cannot be anticipated or controlled, often used in legal contexts to excuse parties from contractual obligations.

Wildfires

Uncontrolled and often widespread fires in areas of combustible vegetation, often exacerbated by dry conditions and strong winds.

Unexpected Detours

Situations or incidents that cause one to deviate from a planned or expected route or course of action.

Liable

Legally responsible for something, especially in the context of financial or legal obligations.