Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Question 6:
**Problem Statement:**
Find the range of the function \( y = \frac{1}{2}x + 3 \) when the domain is \{-2, 0, 2, 4\}.
**Solution:**
To find the range, substitute the values of the domain into the function.
1. For \( x = -2 \):
\[
y = \frac{1}{2}(-2) + 3 = -1 + 3 = 2
\]
2. For \( x = 0 \):
\[
y = \frac{1}{2}(0) + 3 = 0 + 3 = 3
\]
3. For \( x = 2 \):
\[
y = \frac{1}{2}(2) + 3 = 1 + 3 = 4
\]
4. For \( x = 4 \):
\[
y = \frac{1}{2}(4) + 3 = 2 + 3 = 5
\]
**Result:**
The range of the function is \{2, 3, 4, 5\}.
### Tables and Graph Explanation:
**First Table:**
- A table with two columns and four rows, labeled \( x \) and \( y \).
- \( x \) values are \(-2, 0, 2, 4\).
- Corresponding \( y \) values are \( 6, 5, 4, 3 \).
**Graph:**
- A blank coordinate grid with labeled x and y axes, ready for plotting or interpretation.
**Second Table (Option A):**
- A table with two columns and four rows, labeled \( x \) and \( y \).
- \( x \) values are \(-3, -1, 2, 6\).
- Corresponding \( y \) values are \(-10, -8, -5, -1\).
**Third Table (Option B):**
- A table with two columns and five rows, labeled \( x \) and \( y \).
- \( x \) values are \(-1, 1, 2, 3, 5\).
- Corresponding \( y \) values are \(-3, 0, 1,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e6da108-6f2c-4182-a28c-8c3fabdac014%2F7a4973d2-7ca3-4d40-b5d0-2525ed10fb99%2Fnycx2k5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Question 6:
**Problem Statement:**
Find the range of the function \( y = \frac{1}{2}x + 3 \) when the domain is \{-2, 0, 2, 4\}.
**Solution:**
To find the range, substitute the values of the domain into the function.
1. For \( x = -2 \):
\[
y = \frac{1}{2}(-2) + 3 = -1 + 3 = 2
\]
2. For \( x = 0 \):
\[
y = \frac{1}{2}(0) + 3 = 0 + 3 = 3
\]
3. For \( x = 2 \):
\[
y = \frac{1}{2}(2) + 3 = 1 + 3 = 4
\]
4. For \( x = 4 \):
\[
y = \frac{1}{2}(4) + 3 = 2 + 3 = 5
\]
**Result:**
The range of the function is \{2, 3, 4, 5\}.
### Tables and Graph Explanation:
**First Table:**
- A table with two columns and four rows, labeled \( x \) and \( y \).
- \( x \) values are \(-2, 0, 2, 4\).
- Corresponding \( y \) values are \( 6, 5, 4, 3 \).
**Graph:**
- A blank coordinate grid with labeled x and y axes, ready for plotting or interpretation.
**Second Table (Option A):**
- A table with two columns and four rows, labeled \( x \) and \( y \).
- \( x \) values are \(-3, -1, 2, 6\).
- Corresponding \( y \) values are \(-10, -8, -5, -1\).
**Third Table (Option B):**
- A table with two columns and five rows, labeled \( x \) and \( y \).
- \( x \) values are \(-1, 1, 2, 3, 5\).
- Corresponding \( y \) values are \(-3, 0, 1,
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