Find the Domain and Range of the Function $h ( x , y ) = \sqrt { 2 x - 9 y }$

question 24

Multiple Choice

Find the domain and range of the function $h ( x , y ) = \sqrt { 2 x - 9 y }$ .

• A)
• \(D = \left\{ ( x , y ) \mid y \geq \frac { 9 } { 2 } x \right\}\)
• \(R = \{ z \mid 0 < z \}\)
• B)
• \(\begin{array} { l }
• D = \left\{ ( x , y ) \mid y \leq \frac { 2 } { 9 } x \right\} \\
• R = \{ z \mid 0 < z \}
• \end{array}\)
• C)
• \(\begin{array} { l }
• D = \left\{ ( x , y ) \mid y \leq \frac { 2 } { 9 } x \right\} \\
• R = \{ z \mid 0 \leq z \}
• \end{array}\)
• D)
• \(\begin{array} { l }
• D = \left\{ ( x , y ) \mid y \geq \frac { 9 } { 2 } x \right\} \\
• R = \{ z \mid 0 \leq z \}
• \end{array}\)

---

Definitions:

Circular Reasoning

A logical fallacy where the conclusion is supported by premises that assume the conclusion's truth, creating a circle in reasoning.

Logical Fallacy

An error in reasoning that renders an argument invalid or undermines the argument's logical structure.

Either/or Scenario

A situation presenting two exclusive options, where the choice of one negates the possibility of the other.

Emotional Appeals

Persuasive techniques that aim to evoke an emotional response from the audience to sway their opinion or decision.