
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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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: \(\{y \mid -5 < y \leq 3\}\)](https://content.bartleby.com/qna-images/question/a21e1c50-d204-4b1c-af4d-5bfcd54fd78e/aab09742-708c-42bc-9e5d-e378d72e03fb/atlgl7lq_thumbnail.jpeg)
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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- Fo 1 @ Finding the Domain and Range of a Graph Determine the Domain and Range for the graph below. Write your answer in Interval Notation and as a Compound Inequality. Note: To type in the sign, type "<=". For example, to enter the Domain -10 < x < 10, you would type -10 <= x < 10 5 y x -5 -4 -3 Domain written in Interval Notation Range written in Interval Notation, Question Help: Video Submit Question F2 # 80 F3 $ 000 000 F4 -2 % -1 4 3 2 1 +/ 1 -2 -3 -4 -5 F5 1 C 2 < 3 4 5 Domain written as a Compound Inequality Range written as a Compound Inequality MacBook DII F6 F8 & F7 *arrow_forward(a)The elevation of a point of interest is 4 kilometers or less. Use h for the elevation in kilometers. inequality : graph it on the line. (b)The elevation of a point of interest is between 2 kilometers and 7 kilometers, exclusive. Use h for the elevation in kilometers. inequality: graph it on a number linearrow_forward
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