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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Transcribed Image Text:### Determine if a Graph is a Function
---
#### Is this the graph of a function?
- ○ No
- ○ Yes
---
#### Graph Description:
The provided graph is a grid with an \( x \)-axis and a \( y \)-axis, both extending from -8 to 8. In the middle of the grid, there is a blue circle centered at the origin (0, 0) with a radius of 2 units. This means the circle extends from -2 to 2 on both the \( x \)-axis and \( y \)-axis. Each unit is represented by a small square in the grid.
To determine if this graph is a function, recall the definition of a function: **For each input (x-value), there must be exactly one output (y-value)**. In the case of this circle, any vertical line drawn through the circle will intersect the circle at two points. Hence, the given graph does not represent a function.
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