(A) (B) YA yA y = h(x) y f(x) + C2 b. Answer Answer

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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The image presents four graphs labeled (A), (B), (C), and (D). Each graph represents a function, and the task is to identify any Absolute Maximum and Absolute Minimum if they exist, by examining the points on the graphs.

**Graph (A):**
- Function: \( y = h(x) \)
- The graph shows a curve with endpoints and peaks at various points.
- The graph starts at point \( O \), moves through point \( c_1 \), and ends at point \( b \).
- There are red marked points that are potential maximums and minimums.

**Graph (B):**
- Function: \( y = f(x) \)
- The curve starts from point \( a \), peaks between \( a \) and \( c \), and ends at point \( b \).
- The graph descends almost continuously with turning points marked in red at its local extrema.

**Graph (C):**
- Function: \( y = g(x) \)
- The curve starts from \( O \), moves through point \( a \), dips between \( a \) and \( b \), and ascends to point \( b \).
- There are potential extrema marked in red within the curve.

**Graph (D):**
- Function: \( y = g(x) \)
- The shape is similar to an inverted parabola.
- It starts from above point \( a \) at a higher vertical level, dips at point \( c \), and rises towards point \( b \).
- The endpoints and a minimum are marked in red.

Below each graph, there is a space labeled "Answer" for writing the identified absolute maximum and minimum points or stating "None Exist" if applicable.
Transcribed Image Text:The image presents four graphs labeled (A), (B), (C), and (D). Each graph represents a function, and the task is to identify any Absolute Maximum and Absolute Minimum if they exist, by examining the points on the graphs. **Graph (A):** - Function: \( y = h(x) \) - The graph shows a curve with endpoints and peaks at various points. - The graph starts at point \( O \), moves through point \( c_1 \), and ends at point \( b \). - There are red marked points that are potential maximums and minimums. **Graph (B):** - Function: \( y = f(x) \) - The curve starts from point \( a \), peaks between \( a \) and \( c \), and ends at point \( b \). - The graph descends almost continuously with turning points marked in red at its local extrema. **Graph (C):** - Function: \( y = g(x) \) - The curve starts from \( O \), moves through point \( a \), dips between \( a \) and \( b \), and ascends to point \( b \). - There are potential extrema marked in red within the curve. **Graph (D):** - Function: \( y = g(x) \) - The shape is similar to an inverted parabola. - It starts from above point \( a \) at a higher vertical level, dips at point \( c \), and rises towards point \( b \). - The endpoints and a minimum are marked in red. Below each graph, there is a space labeled "Answer" for writing the identified absolute maximum and minimum points or stating "None Exist" if applicable.
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