What is lim f(x)? 13. If g(x) 2x-1 what is gʻ(x)? +3x '

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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**12. Study the graph of the function \( f(x) \) and then answer the question below.**

The graph of \( f(x) \) is shown with the x-axis labeled from \(-2\) to \(5\) and the y-axis labeled from \(1\) to \(3\). The graph features:

- An open circle at \( x = -1 \) and \( f(x) = 3 \), indicating a hole in the graph.
- A solid dot at \( x = 0 \) and \( f(x) = 2 \).
- The curve continues, dipping down with a minimum point near \( x = 1 \) slightly above the x-axis.
- An arc that peaks near \( x = 2 \) slightly above \( y = 2 \).
- An open circle at \( x = 3 \) and \( f(x) = 2 \) with a solid dot nearby at \( x = 3 \) and \( f(x) = 1 \).
- The curve rises and continues beyond \( x = 4 \).

The question posed is:
What is \(\lim_{x \to 3} f(x)\)?

**13. If \( g(x) = \frac{2x - 1}{x^2 + 3x} \), what is \( g'(x) \)?**
Transcribed Image Text:**12. Study the graph of the function \( f(x) \) and then answer the question below.** The graph of \( f(x) \) is shown with the x-axis labeled from \(-2\) to \(5\) and the y-axis labeled from \(1\) to \(3\). The graph features: - An open circle at \( x = -1 \) and \( f(x) = 3 \), indicating a hole in the graph. - A solid dot at \( x = 0 \) and \( f(x) = 2 \). - The curve continues, dipping down with a minimum point near \( x = 1 \) slightly above the x-axis. - An arc that peaks near \( x = 2 \) slightly above \( y = 2 \). - An open circle at \( x = 3 \) and \( f(x) = 2 \) with a solid dot nearby at \( x = 3 \) and \( f(x) = 1 \). - The curve rises and continues beyond \( x = 4 \). The question posed is: What is \(\lim_{x \to 3} f(x)\)? **13. If \( g(x) = \frac{2x - 1}{x^2 + 3x} \), what is \( g'(x) \)?**
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