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
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
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 26MCQ
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
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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