Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (-1,2) on the graph of f? (b) If x=2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercept(s), if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. (a) Choose the correct answer below. A. Yes, because substituting x= -1 into the given equation results in 2. O B. No, because substituting x= -1 into the given equation does not result in 2. O C. Yes, because substituting x=2 into the given equation results in - 1. O D. No, because substituting x=2 into the given equation does not result in - 1. (b) If x=2, f(x) = (Simplify your answer.)
Answer the questions about the following function. f(x)=3x²-x-2 (a) Is the point (-1,2) on the graph of f? (b) If x=2, what is f(x)? What point is on the graph of f? (c) If f(x) = -2, what is x? What point(s) are on the graph of f? (d) What is the domain of f? (e) List the x-intercept(s), if any, of the graph of f. (f) List the y-intercept, if there is one, of the graph of f. (a) Choose the correct answer below. A. Yes, because substituting x= -1 into the given equation results in 2. O B. No, because substituting x= -1 into the given equation does not result in 2. O C. Yes, because substituting x=2 into the given equation results in - 1. O D. No, because substituting x=2 into the given equation does not result in - 1. (b) If x=2, f(x) = (Simplify your answer.)
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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![The image presents a mathematical problem regarding the function \( f(x) = 3x^2 - x - 2 \). The task is to answer several questions about the function:
1. **Questions about the function:**
- (a) **Is the point (-1,2) on the graph of \( f \)?**
- (b) **If \( x = 2 \), what is \( f(x) \)? What point is on the graph of \( f \)?**
- (c) **If \( f(x) = -2 \), what is \( x \)? What point(s) are on the graph of \( f \)?**
- (d) **What is the domain of \( f \)?**
- (e) **List the x-intercept(s), if any, of the graph of \( f \).**
- (f) **List the y-intercept, if there is one, of the graph of \( f \).**
2. **Multiple-choice questions:**
- (a) Choose the correct answer regarding whether the point (-1,2) is on the graph:
- A. Yes, because substituting \( x = -1 \) into the equation results in 2.
- B. No, because substituting \( x = -1 \) into the equation does not result in 2.
- C. Yes, because substituting \( x = 2 \) into the equation results in -1.
- D. No, because substituting \( x = 2 \) into the equation does not result in -1.
- The selected answer is **A**.
- (b) Simplify and find \( f(x) \) when \( x = 2 \):
- Instructions: Simplify your answer and input it in the provided box.
This layout includes questions to test understanding of graph interpretation, substitution into functions, and identifying intercepts. The learner is asked to analyze the function and verify points and intercepts algebraically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf87f2e5-9dc6-40a8-a671-7dc06cda6841%2F3b133edc-7b6e-4a81-a5d0-7b3646ee400b%2Fbhbl0sa_processed.png&w=3840&q=75)
Transcribed Image Text:The image presents a mathematical problem regarding the function \( f(x) = 3x^2 - x - 2 \). The task is to answer several questions about the function:
1. **Questions about the function:**
- (a) **Is the point (-1,2) on the graph of \( f \)?**
- (b) **If \( x = 2 \), what is \( f(x) \)? What point is on the graph of \( f \)?**
- (c) **If \( f(x) = -2 \), what is \( x \)? What point(s) are on the graph of \( f \)?**
- (d) **What is the domain of \( f \)?**
- (e) **List the x-intercept(s), if any, of the graph of \( f \).**
- (f) **List the y-intercept, if there is one, of the graph of \( f \).**
2. **Multiple-choice questions:**
- (a) Choose the correct answer regarding whether the point (-1,2) is on the graph:
- A. Yes, because substituting \( x = -1 \) into the equation results in 2.
- B. No, because substituting \( x = -1 \) into the equation does not result in 2.
- C. Yes, because substituting \( x = 2 \) into the equation results in -1.
- D. No, because substituting \( x = 2 \) into the equation does not result in -1.
- The selected answer is **A**.
- (b) Simplify and find \( f(x) \) when \( x = 2 \):
- Instructions: Simplify your answer and input it in the provided box.
This layout includes questions to test understanding of graph interpretation, substitution into functions, and identifying intercepts. The learner is asked to analyze the function and verify points and intercepts algebraically.
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