Let f(x) = {5² (52–3, 2x, x > 1, x < 1, Does lim f(x) exist? Why or why not? x 3 1. Yes because you are always allowed to evalu- ate limits by just evaluating f at the x value. 2. No because there is a discontinuity in the graph of f. 3. Yes because the graph of f(x) around x = 2 is a line and is therefore continuous. 4. No because the domain of f is not all real numbers.

Let f(x) = {5² (52–3, 2x, x > 1, x < 1, Does lim f(x) exist? Why or why not? x 3 1. Yes because you are always allowed to evalu- ate limits by just evaluating f at the x value. 2. No because there is a discontinuity in the graph of f. 3. Yes because the graph of f(x) around x = 2 is a line and is therefore continuous. 4. No because the domain of f is not all real numbers.

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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