-3x+8 x-7 Fill in the blanks below. (Note that it is common to say a limit "has a value of" oo if the function output increases without bound or -oo if the output decreases without bound. Use that notation in this question.) Solve this question by hand without using any tools (no graphing tools). Suppose f(x)= = a. lim f(x) = 818 b. lim f(x) = H118 c. lim f(x): Preview Preview Preview

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5)Suppose ….. Fill in the blanks below. (Note that it is common to say a limit "has a value of" o if the function output increases without bound or - ∞ if the output decreases without bound. Use that notation in this question.) Solve this question by hand without using any tools (no graphing tools).
Suppose \( f(x) = \frac{-3x + 8}{x - 7} \). Fill in the blanks below. (Note that it is common to say a limit "has a value of" \(\infty\) if the function output increases without bound or \(-\infty\) if the output decreases without bound. Use that notation in this question.) **Solve this question by hand without using any tools (no graphing tools).**

a. \(\lim_{x \to \infty} f(x) =\) \_\_\_\_\_  [Preview]

b. \(\lim_{x \to -\infty} f(x) =\) \_\_\_\_\_  [Preview]

c. \(\lim_{x \to 7} f(x) =\) \_\_\_\_\_  [Preview]

d. \(\lim_{x \to 7^+} f(x) =\) \_\_\_\_\_  [Preview]

- **Box 1:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity.

- **Box 2:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity.

- **Box 3:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity.

- **Box 4:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity.
Transcribed Image Text:Suppose \( f(x) = \frac{-3x + 8}{x - 7} \). Fill in the blanks below. (Note that it is common to say a limit "has a value of" \(\infty\) if the function output increases without bound or \(-\infty\) if the output decreases without bound. Use that notation in this question.) **Solve this question by hand without using any tools (no graphing tools).** a. \(\lim_{x \to \infty} f(x) =\) \_\_\_\_\_ [Preview] b. \(\lim_{x \to -\infty} f(x) =\) \_\_\_\_\_ [Preview] c. \(\lim_{x \to 7} f(x) =\) \_\_\_\_\_ [Preview] d. \(\lim_{x \to 7^+} f(x) =\) \_\_\_\_\_ [Preview] - **Box 1:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity. - **Box 2:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity. - **Box 3:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity. - **Box 4:** Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like \(5/3\), \(2^3\), \(5+4\)). Enter DNE for Does Not Exist, \(\infty\) for Infinity.
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