Step by step solution Step 1 of 2 Given function f(x) = 2 x . | | We will check if the function is even or odd. We do this because even function is symmetric with respect to the y-axis and odd function has rotational symmetry with respect to the origin. f( x) = 2 |x …|(1) Let’s write the definition of absolute value of some number x: Based on this we can write that x = | . |her| |re the relation (1) becomes: f( x) = 2 |x | f( x) = 2 x| | f( x) = f(x) Based on the previous relation we can conclude that the function f(x) is even and it is symmetric with respect to the y-axis. If the function is symmetric with respect to the y-axis then its values for x and -x are equal. Let’s look the the graph of f(x) = 2 x . | |
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 50E from 1.1 chapter was answered, more than 306 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 50E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “f(x) = 2 | |” is broken down into a number of easy to follow steps, and 5 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 85 chapters, and 5218 solutions.