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

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

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 3SE: Why does the vertical line test tell as whether the graph of a relation represents a function?
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Question
**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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