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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Question
![### Problem Solving with Graphs
Below is a graph of the function \( y = f(x) \):
![Graph Explanation]
The graph in the image shows a curve for the function \( y = f(x) \). The x-axis ranges from -3 to 10, while the y-axis ranges from -3 to 7. The curve begins below -2 on the y-axis close to \( x = -2 \), turns upwards to cross the x-axis around \( x = 1 \), reaches a peak close to \( (6, 6) \), and then curves back downward crossing the x-axis again around \( x = 9 \).
---
#### Exercises
**(a) Find the value of \( f(9) \).**
\[ f(9) = \boxed{} \]
---
**(b) Find the values of \( x \) corresponding to the point(s) on the graph of \( f \) located at a height of 5 units above the x-axis.**
\[
x = \boxed{} \quad \text{(smaller value)}
\]
\[
x = \boxed{} \quad \text{(larger value)}
\]
---
**(c) Find the point on the x-axis at which the graph of \( f \) crosses it.**
\[ x = \boxed{} \]
What is the value of \( f(x) \) at this point?
\[ f(x) = \boxed{} \]
---
**(d) Find the domain and range of \( f \). (Enter your answers using interval notation.)**
**Domain:**
\[ \boxed{} \]
**Range:**
\[ \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffaa3be14-7f82-4920-95bd-32284dc4e75b%2Fa6a793d4-bfd0-43fa-a7db-67dafb2f8b68%2Fco3ctat_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Solving with Graphs
Below is a graph of the function \( y = f(x) \):
![Graph Explanation]
The graph in the image shows a curve for the function \( y = f(x) \). The x-axis ranges from -3 to 10, while the y-axis ranges from -3 to 7. The curve begins below -2 on the y-axis close to \( x = -2 \), turns upwards to cross the x-axis around \( x = 1 \), reaches a peak close to \( (6, 6) \), and then curves back downward crossing the x-axis again around \( x = 9 \).
---
#### Exercises
**(a) Find the value of \( f(9) \).**
\[ f(9) = \boxed{} \]
---
**(b) Find the values of \( x \) corresponding to the point(s) on the graph of \( f \) located at a height of 5 units above the x-axis.**
\[
x = \boxed{} \quad \text{(smaller value)}
\]
\[
x = \boxed{} \quad \text{(larger value)}
\]
---
**(c) Find the point on the x-axis at which the graph of \( f \) crosses it.**
\[ x = \boxed{} \]
What is the value of \( f(x) \) at this point?
\[ f(x) = \boxed{} \]
---
**(d) Find the domain and range of \( f \). (Enter your answers using interval notation.)**
**Domain:**
\[ \boxed{} \]
**Range:**
\[ \boxed{} \]
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