Evaluate: g(f(-8)) y = f(x) y = g(x) 10 10 4 3 -10-9-8 -7 -6 -5 -43 -2 -!, 1 2 3 4 6 7 8 9 10 -10-9-8-7 -6 -5 -4 -3 -2 -1, 1 2 345678 d 10 -2 -2 -3 -4 -4 -5 -5 -6 -6 -7 -8 -8 -9 -9. -10 -10 Answer: Submit 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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### Evaluate: \( g(f(-8)) \)

#### Graphs:

- **Graph of \( y = f(x) \)**
  - The graph is a V-shaped line, indicating an absolute value function.
  - The point appears to reach its minimum at (0, -2).
  - For negative \( x \)-values, the line has a positive slope, and for positive \( x \)-values, the line has a negative slope.
  - The function value at \( x = -8 \) is \( y = 6 \).

- **Graph of \( y = g(x) \)**
  - The graph represents a parabola opening downwards.
  - It appears to peak around \( x = 3 \) or \( x = 4 \) with a maximum \( y \)-value around 5.
  - The function values decrease to \( y = -10 \) as \( x \) approaches 10 from either side.
  
To find \( g(f(-8)) \), first determine \( f(-8) \) using the \( y = f(x) \) graph, which is 6. Then locate \( g(6) \) using the \( y = g(x) \) graph for \( x = 6 \), which is approximately \(-9\).

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There is an input box where users can type their answer and submit it, labeled as "Answer:" with a "Submit Answer" button.
Transcribed Image Text:### Evaluate: \( g(f(-8)) \) #### Graphs: - **Graph of \( y = f(x) \)** - The graph is a V-shaped line, indicating an absolute value function. - The point appears to reach its minimum at (0, -2). - For negative \( x \)-values, the line has a positive slope, and for positive \( x \)-values, the line has a negative slope. - The function value at \( x = -8 \) is \( y = 6 \). - **Graph of \( y = g(x) \)** - The graph represents a parabola opening downwards. - It appears to peak around \( x = 3 \) or \( x = 4 \) with a maximum \( y \)-value around 5. - The function values decrease to \( y = -10 \) as \( x \) approaches 10 from either side. To find \( g(f(-8)) \), first determine \( f(-8) \) using the \( y = f(x) \) graph, which is 6. Then locate \( g(6) \) using the \( y = g(x) \) graph for \( x = 6 \), which is approximately \(-9\). #### Input Box: There is an input box where users can type their answer and submit it, labeled as "Answer:" with a "Submit Answer" button.
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