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sweet-ann [11.9K]
3 years ago
9

In two or more complete sentences describe how to determine if the function, f(x)=3cos(x) is even by looking at a graph

Mathematics
1 answer:
frutty [35]3 years ago
6 0

A function is said to be even if its graph is symmetric with respect to the y-axis, that is:


A \ function \ y=f(x) \ is \ \mathbf{even} \ if, \ for \ each \ x \ in \ the \ domain \ of \ f:\\ \\ f(-x)=f(x)


Therefore:


<h2>SENTENCE 1:</h2><h3 />
  • Since f(x)=3cos(x) is symmetric with respect to the y-axis, then the function is even as illustrated in the Figure below.

<h2>SENTENCE 2:</h2><h2 />
  • Since f(x)=3cos(x) \ and \ f(-x)=3cos(-x)=3cos(x), thus f(x)=f(-x), then the function is even as illustrated in the Figure below.

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