Answer the questions about the following function. x+3 X-10 f(x)= (a) is the point 4, 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) is (are) on the graph of f? (d) What is the domain of f? (=
Answer the questions about the following function. x+3 X-10 f(x)= (a) is the point 4, 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) is (are) on the graph of f? (d) What is the domain 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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![Answer the questions about the following function.
\[ f(x) = \frac{x + 3}{x - 10} \]
(a) Is the point \(\left( 4, -\frac{9}{4} \right)\) 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) is (are) on the graph of \( f \)?
(d) What is the domain of \( f \)?
(e) List the x-intercepts, 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 \( x = -\frac{9}{4} \) into the given equation results in 4.
- (B) Yes, because substituting \( x = 4 \) into the given equation results in \(-\frac{9}{4}\).
- (C) No, because substituting \( x = -\frac{9}{4} \) into the given equation does not result in 4.
- (D) No, because substituting \( x = 4 \) into the given equation does not result in \(-\frac{9}{4}\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf87f2e5-9dc6-40a8-a671-7dc06cda6841%2Fa3571047-65c5-4c51-8372-f8a423aae0d7%2F8sc1l5p_processed.png&w=3840&q=75)
Transcribed Image Text:Answer the questions about the following function.
\[ f(x) = \frac{x + 3}{x - 10} \]
(a) Is the point \(\left( 4, -\frac{9}{4} \right)\) 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) is (are) on the graph of \( f \)?
(d) What is the domain of \( f \)?
(e) List the x-intercepts, 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 \( x = -\frac{9}{4} \) into the given equation results in 4.
- (B) Yes, because substituting \( x = 4 \) into the given equation results in \(-\frac{9}{4}\).
- (C) No, because substituting \( x = -\frac{9}{4} \) into the given equation does not result in 4.
- (D) No, because substituting \( x = 4 \) into the given equation does not result in \(-\frac{9}{4}\).
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