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Mark the critical points (z values) with their corresponding y values as points on the following graph. 54 48- 42 36 30 24 18 12 6- Clear All Draw: Dot

Mark the critical points (z values) with their corresponding y values as points on the following graph. 54 48- 42 36 30 24 18 12 6- Clear All Draw: Dot

Calculus: Early Transcendentals
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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**Transcription and Analysis of the Graph** **Instruction:** "Mark the critical points (*x* values) with their corresponding *y* values as points on the following graph." **Graph Description:** - The graph is a Cartesian plane with *x*-axis ranging from -5 to 5 and *y*-axis ranging from 0 to 54. - The curve appears to be polynomial, starting at the left from a higher *y* value, decreasing, reaching a local minimum, then increasing steeply on the right. **Axes:** - **X-axis:** Ranges from -5 to 5. - **Y-axis:** Ranges from 0 to 54 in intervals of 6. **Curve Behavior:** - The curve initially descends from a positive *y* value, indicating a local maximum or starting point. - It reaches a local minimum around *x* = 0. - After this minimum, the curve begins to rise sharply as *x* increases. **Critical Points:** - **Local Minimum:** Occurs near *x* = 0. This is where the graph changes direction from decreasing to increasing. - **Potential Local Maximum:** May be implied from the starting point on the left. **Instructions for Marking Points:** Students are expected to identify exact coordinates of these critical points by observing where the slopes of the graph are zero or where the graph changes direction. **Note:** Use the "Clear All" and "Draw: Dot" functions as needed to mark the graph accurately.
Transcribed Image Text:**Transcription and Analysis of the Graph** **Instruction:** "Mark the critical points (*x* values) with their corresponding *y* values as points on the following graph." **Graph Description:** - The graph is a Cartesian plane with *x*-axis ranging from -5 to 5 and *y*-axis ranging from 0 to 54. - The curve appears to be polynomial, starting at the left from a higher *y* value, decreasing, reaching a local minimum, then increasing steeply on the right. **Axes:** - **X-axis:** Ranges from -5 to 5. - **Y-axis:** Ranges from 0 to 54 in intervals of 6. **Curve Behavior:** - The curve initially descends from a positive *y* value, indicating a local maximum or starting point. - It reaches a local minimum around *x* = 0. - After this minimum, the curve begins to rise sharply as *x* increases. **Critical Points:** - **Local Minimum:** Occurs near *x* = 0. This is where the graph changes direction from decreasing to increasing. - **Potential Local Maximum:** May be implied from the starting point on the left. **Instructions for Marking Points:** Students are expected to identify exact coordinates of these critical points by observing where the slopes of the graph are zero or where the graph changes direction. **Note:** Use the "Clear All" and "Draw: Dot" functions as needed to mark the graph accurately.
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