Answer the questions about the following function. fix)= (a) is the point 2. - on the graph of ? (b) If x = 1, what is fix? What point is on the graph of ? (c) If fx) = 2. what is x? What points) is (are) on the graph of ? (d) What is the domain of ? (e) List the x-intercepts, f any, of the graph of f () List the y-intercept if there is one, of the graph of f.
Answer the questions about the following function. fix)= (a) is the point 2. - on the graph of ? (b) If x = 1, what is fix? What point is on the graph of ? (c) If fx) = 2. what is x? What points) is (are) on the graph of ? (d) What is the domain of ? (e) List the x-intercepts, f any, of the graph of f () List the y-intercept if there is one, of the graph of f.
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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Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![**Answer the questions about the following function:**
\[ f(x) = \frac{x + 4}{x - 12} \]
1. **Is the point \(\left(2, -\frac{9}{7}\right)\) on the graph of \( f \)?**
2. **If \( x = 1 \), what is \( f(x) \)? What point is on the graph of \( f \)?**
3. **If \( f(x) = 2 \), what is \( x \)? What point(s) is (are) on the graph of \( f \)?**
4. **What is the domain of \( f \)?**
5. **List the x-intercepts, if any, of the graph of \( f \).**
6. **List the y-intercept, if there is one, of the graph of \( f \).**
---
**(a) Choose the correct answer below:**
- \( \text{A. Yes, because substituting } x = -\frac{9}{7} \text{ into the given equation results in 2.} \)
- \( \text{B. Yes, because substituting } x = 2 \text{ into the given equation results in } -\frac{9}{7}. \)
- \( \text{C. No, because substituting } x = -\frac{9}{7} \text{ into the given equation does not result in 2.} \)
- \( \text{D. No, because substituting } x = 2 \text{ into the given equation does not result in } -\frac{9}{7}. \)
**(b) If \( x = 1 \), \( f(x) = \) ________.**
*(Simplify your answer.)*
Using the information in the previous step, list the point(s) on the graph of \( f \), where \( x = 1 \).
________
*(Simplify your answer. Type an ordered pair.)*
**(c) If \( f(x) = 2 \), \( x = \) ________.**
*(Simplify your answer. Use a comma to separate answers as needed.)*
Using the information in the previous step, list the point(s) on the graph of \( f \), where \( f(x) = 2. \)
________
*(Simplify your answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01f08c14-7c2f-4258-b371-70727eb7a45f%2F0e850d5c-3a50-43d7-903b-a4e768a1180f%2Fop68unn_processed.png&w=3840&q=75)
Transcribed Image Text:**Answer the questions about the following function:**
\[ f(x) = \frac{x + 4}{x - 12} \]
1. **Is the point \(\left(2, -\frac{9}{7}\right)\) on the graph of \( f \)?**
2. **If \( x = 1 \), what is \( f(x) \)? What point is on the graph of \( f \)?**
3. **If \( f(x) = 2 \), what is \( x \)? What point(s) is (are) on the graph of \( f \)?**
4. **What is the domain of \( f \)?**
5. **List the x-intercepts, if any, of the graph of \( f \).**
6. **List the y-intercept, if there is one, of the graph of \( f \).**
---
**(a) Choose the correct answer below:**
- \( \text{A. Yes, because substituting } x = -\frac{9}{7} \text{ into the given equation results in 2.} \)
- \( \text{B. Yes, because substituting } x = 2 \text{ into the given equation results in } -\frac{9}{7}. \)
- \( \text{C. No, because substituting } x = -\frac{9}{7} \text{ into the given equation does not result in 2.} \)
- \( \text{D. No, because substituting } x = 2 \text{ into the given equation does not result in } -\frac{9}{7}. \)
**(b) If \( x = 1 \), \( f(x) = \) ________.**
*(Simplify your answer.)*
Using the information in the previous step, list the point(s) on the graph of \( f \), where \( x = 1 \).
________
*(Simplify your answer. Type an ordered pair.)*
**(c) If \( f(x) = 2 \), \( x = \) ________.**
*(Simplify your answer. Use a comma to separate answers as needed.)*
Using the information in the previous step, list the point(s) on the graph of \( f \), where \( f(x) = 2. \)
________
*(Simplify your answer
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