For the given function, determine each of the following: 1. f(1) = 5 Ay M −5 −4 −3 −2 −1₁ -2 -3 -4 -5 2. lim f(x) = 2-1 3 2 1 1 2 3 4 y=f(x) If the limit does not exist, type DNE. 5
For the given function, determine each of the following: 1. f(1) = 5 Ay M −5 −4 −3 −2 −1₁ -2 -3 -4 -5 2. lim f(x) = 2-1 3 2 1 1 2 3 4 y=f(x) If the limit does not exist, type DNE. 5
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
![For the given function, determine each of the following:
Graph Description:
- The graph shows the function \( y = f(x) \).
- The x-axis ranges from -5 to 5 and the y-axis ranges from -5 to 5.
- The function has two distinct pieces:
- A linear segment descending from the point (-4, 5) to the point (0, 2). The segment includes an open circle at (0, 2) indicating that the function does not include this point.
- A horizontal ray starting at (1, 2) extending to the right, indicating a constant function for \( x \geq 1 \). The point (1, 2) is closed, indicating inclusion in the function.
Questions:
1. \( f(1) = \) [Input Box],
2. \( \lim_{x \to 1} f(x) = \) [Input Box]. If the limit does not exist, type DNE.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F403ff343-5325-4962-8a3b-68f69861c93c%2F9210013b-6038-49ba-91a3-8b495df065be%2Flntz51s_processed.png&w=3840&q=75)
Transcribed Image Text:For the given function, determine each of the following:
Graph Description:
- The graph shows the function \( y = f(x) \).
- The x-axis ranges from -5 to 5 and the y-axis ranges from -5 to 5.
- The function has two distinct pieces:
- A linear segment descending from the point (-4, 5) to the point (0, 2). The segment includes an open circle at (0, 2) indicating that the function does not include this point.
- A horizontal ray starting at (1, 2) extending to the right, indicating a constant function for \( x \geq 1 \). The point (1, 2) is closed, indicating inclusion in the function.
Questions:
1. \( f(1) = \) [Input Box],
2. \( \lim_{x \to 1} f(x) = \) [Input Box]. If the limit does not exist, type DNE.
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