2. y = 2√x-x Curve Sketching Information Domain Intercepts Local maxima Local minima Point (s) of inflection Increasing on Decreasing on Concave up on Concave down on

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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**Curve Sketching Information for \( y = 2\sqrt{x} - x \):**

- **Domain:**  
- **Intercepts:**  
- **Local maxima:**  
- **Local minima:**  
- **Point(s) of inflection:**  
- **Increasing on:**  
- **Decreasing on:**  
- **Concave up on:**  
- **Concave down on:**  

**Graph Description:**

The graph is plotted on a Cartesian plane with the x-axis labeled from -4 to 8 and the y-axis from -2.5 to 1.0. The grid is evenly spaced with fine lines. There is no curve currently visible on the graph for the function \( y = 2\sqrt{x} - x \). Additional calculations or input values might be needed to plot the function accurately.

This setup is useful for analyzing the behavior of the function in terms of its critical points, intervals of increase or decrease, and concavity, though further computations are required to fill in all details.
Transcribed Image Text:**Curve Sketching Information for \( y = 2\sqrt{x} - x \):** - **Domain:** - **Intercepts:** - **Local maxima:** - **Local minima:** - **Point(s) of inflection:** - **Increasing on:** - **Decreasing on:** - **Concave up on:** - **Concave down on:** **Graph Description:** The graph is plotted on a Cartesian plane with the x-axis labeled from -4 to 8 and the y-axis from -2.5 to 1.0. The grid is evenly spaced with fine lines. There is no curve currently visible on the graph for the function \( y = 2\sqrt{x} - x \). Additional calculations or input values might be needed to plot the function accurately. This setup is useful for analyzing the behavior of the function in terms of its critical points, intervals of increase or decrease, and concavity, though further computations are required to fill in all details.
Use the guidelines to sketch the curve for functions 1-3. Then write all intervals and points on the according space provided for each problem. *If there are none, then state none.*
Transcribed Image Text:Use the guidelines to sketch the curve for functions 1-3. Then write all intervals and points on the according space provided for each problem. *If there are none, then state none.*
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