Find the range of the function when defined on the specific domain D. f(x,y) = D= {(x,y) : 2sxs3, 2x} y' Range = (Type your answer in interval notation.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Find the range of the function when defined on the specific domain D.**

\[ f(x,y) = \frac{x}{y}, \quad D = \{(x,y) \mid 2 \leq x \leq 3, \; 2 \leq y \leq 3, \; y > x\} \]

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**Range =** [Type your answer in interval notation.]

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**Description:**

The problem involves finding the range of the function \( f(x,y) = \frac{x}{y} \) over a specified domain \( D \). The domain \( D \) includes pairs \((x, y)\) such that \( x \) and \( y \) satisfy the conditions \( 2 \leq x \leq 3 \), \( 2 \leq y \leq 3 \), and \( y > x \).

This requires evaluating the values that \( \frac{x}{y} \) can take given these constraints on \( x \) and \( y \). The answer should be typed in interval notation in the space provided.
Transcribed Image Text:**Text Transcription for Educational Website:** --- **Find the range of the function when defined on the specific domain D.** \[ f(x,y) = \frac{x}{y}, \quad D = \{(x,y) \mid 2 \leq x \leq 3, \; 2 \leq y \leq 3, \; y > x\} \] --- **Range =** [Type your answer in interval notation.] --- **Description:** The problem involves finding the range of the function \( f(x,y) = \frac{x}{y} \) over a specified domain \( D \). The domain \( D \) includes pairs \((x, y)\) such that \( x \) and \( y \) satisfy the conditions \( 2 \leq x \leq 3 \), \( 2 \leq y \leq 3 \), and \( y > x \). This requires evaluating the values that \( \frac{x}{y} \) can take given these constraints on \( x \) and \( y \). The answer should be typed in interval notation in the space provided.
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