Sketch a graph of an even function and give the function’s defining property. Step by step solution
Step 1 of 1 An even function f has property that f ( x)=f(x) for all x in the domain. This means that for two values of x (positive and negative) the fu nction f has one value. The graph of an even function is symmetric about y-axis. Polynomials consisting of only even power of the variable (of the form x , where n is the non-negative integer) are even functions. It is very important to remember that 2n+1 this is not the case for the polynomials with odd power x . For example an even fun ction is y =x . y=x 2 On putting -x at the place of x y=(-x) =x 2 2 Value of y remains same. For example, it is cle ar from th e graph that for x=2 and x =-2 there is on ly one value of function f y=4.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The answer to “Sketch a graph of an even function and give the function’s defining property. Step by step solution” is broken down into a number of easy to follow steps, and 17 words. This full solution covers the following key subjects: function, graph, defining, give, Even. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 9E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 9E from 1.1 chapter was answered, more than 301 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.