Finding the Domain and Range of a Graph Determine the domain and range for the graph below. Write your answer in interval notation and using set builder form. 5 y 4 3 2 1 X -5 -4 -3 3 4 5 Domain written in interval notation Domain using set builder form Use a compound inequality {x| Range written in interval notation Range using set builder form Use a compound inequality -2 -1 -1 -2 -3 -4 -5 1 2 {yl
Finding the Domain and Range of a Graph Determine the domain and range for the graph below. Write your answer in interval notation and using set builder form. 5 y 4 3 2 1 X -5 -4 -3 3 4 5 Domain written in interval notation Domain using set builder form Use a compound inequality {x| Range written in interval notation Range using set builder form Use a compound inequality -2 -1 -1 -2 -3 -4 -5 1 2 {yl
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section: Chapter Questions
Problem 2PFA
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Question
![**Finding the Domain and Range of a Graph**
**Instructions:**
Determine the domain and range for the graph below. Write your answer in interval notation and using set builder form.
[Graph Description]
- The graph appears to be a portion of a function plotted on a coordinate plane.
- The x-axis ranges from -5 to 5.
- The y-axis ranges from -5 to 5.
- The blue curve starts with a closed circle at point \((1, 3)\), rises slightly, and then decreases to an open circle at point \((2, -5)\).
**Graph Analysis:**
1. **Domain:** Represents the set of all possible x-values for which the function is defined.
- The graph of the function exists from \( x = 1 \, (\text{inclusive})\) to \( x = 2 \, (\text{exclusive})\).
2. **Range:** Represents the set of all possible y-values that the function can output.
- The graph of the function reaches y-values from \( y = -5 \, (\text{exclusive})\) to \( y = 3 \, (\text{inclusive})\).
**Answer Format:**
- Domain written in interval notation:
- Domain using set builder form:
- Range written in interval notation:
- Range using set builder form:
**Answers:**
- Domain written in interval notation: \([1, 2)\)
- Domain using set builder form: \(\{x \mid 1 \leq x < 2\}\)
- Range written in interval notation: \((-5, 3]\)
- Range using set builder form: \(\{y \mid -5 < y \leq 3\}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa21e1c50-d204-4b1c-af4d-5bfcd54fd78e%2Faab09742-708c-42bc-9e5d-e378d72e03fb%2Fatlgl7lq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Finding the Domain and Range of a Graph**
**Instructions:**
Determine the domain and range for the graph below. Write your answer in interval notation and using set builder form.
[Graph Description]
- The graph appears to be a portion of a function plotted on a coordinate plane.
- The x-axis ranges from -5 to 5.
- The y-axis ranges from -5 to 5.
- The blue curve starts with a closed circle at point \((1, 3)\), rises slightly, and then decreases to an open circle at point \((2, -5)\).
**Graph Analysis:**
1. **Domain:** Represents the set of all possible x-values for which the function is defined.
- The graph of the function exists from \( x = 1 \, (\text{inclusive})\) to \( x = 2 \, (\text{exclusive})\).
2. **Range:** Represents the set of all possible y-values that the function can output.
- The graph of the function reaches y-values from \( y = -5 \, (\text{exclusive})\) to \( y = 3 \, (\text{inclusive})\).
**Answer Format:**
- Domain written in interval notation:
- Domain using set builder form:
- Range written in interval notation:
- Range using set builder form:
**Answers:**
- Domain written in interval notation: \([1, 2)\)
- Domain using set builder form: \(\{x \mid 1 \leq x < 2\}\)
- Range written in interval notation: \((-5, 3]\)
- Range using set builder form: \(\{y \mid -5 < y \leq 3\}\)
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