Answer the questions about the following function. f(x)= x+3 x-10 9 (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? (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.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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 \( f \)?

- \( f(x) = -\frac{5}{8} \)

Using the information in the previous step, list the point(s) on the graph of \( f \), where \( x = 2 \).

- \(\left(2, -\frac{5}{8}\right)\)

(c) If \( f(x) = 2 \), what is \( x \)? What point(s) is (are) on the graph of \( f \)?

- \( x = 23 \)

Using the information in the previous step, list the point(s) on the graph of \( f \), where \( f(x) = 2 \).

- \((23, 2)\)

(d) What is the domain of \( f \)?

The domain is \((-\infty, 10) \cup (10, \infty)\).

(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 \( f \).
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 \( f \)? - \( f(x) = -\frac{5}{8} \) Using the information in the previous step, list the point(s) on the graph of \( f \), where \( x = 2 \). - \(\left(2, -\frac{5}{8}\right)\) (c) If \( f(x) = 2 \), what is \( x \)? What point(s) is (are) on the graph of \( f \)? - \( x = 23 \) Using the information in the previous step, list the point(s) on the graph of \( f \), where \( f(x) = 2 \). - \((23, 2)\) (d) What is the domain of \( f \)? The domain is \((-\infty, 10) \cup (10, \infty)\). (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 \( f \).
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