Question

In two or more complete sentences describe how to determine if the function, f(x) = 2cos(x) is even by looking at a graph.

Answer 1

Answer:

Observe the attached image

Step-by-step explanation:

A function f(x) is even if

$f(-x) = f(x)$

This means that an input value x and -x have the same output value y

Therefore, check the graph and if it has equal values of y for the values of x and -x, then it is an even function.

Then the graph of $y = f (x)$ will have symmetry with respect to the vertical axis

Observe in the attached image the graph of $f (x) = 2cos (x)$

It always has the same values of y for x and -x. Then $f (x) = 2cos (x)$ It's an even function.