Question

State whether the function is odd, even, or neither. Solve algebraically.
y=x/e^x

Answer 1

neither

Answer 2

it is neither

Answer 3

An even function is a function, f, for which f ( - x) = f (x). The graph of an even function is symmetric about the y-axis.

An odd function is a function, f, with the property that f(-x)=-f(x).

So look at the graph of y=x/e^x, and you tell me.

Answer 4

.. Im still lost.

Answer 5

Plug in any x in for the equation, and tell me if f(x) = f(-x), or if f(-x) = - f (x), or neither.

If you do not understand this notation, or something else, tell me!

Answer 6

i just dont understand the whole concept of e in the equation.

Answer 7

e is just a constant, like pi.
e is 2.71828183. . . Don't let it confuse you.

The main point of the question at hand is just figuring out if the equation is even or odd. The same principals apply.

If even, f(x) = f(-x)
If odd, f(-x) = -f(x)

Answer 8

Plug in any number. 3 for example. Is f(3) equal to f(-3)?

3/e^3 = .150. . .
-3/e^-3 = -60.257. . .

So, the function is not even. Is it odd? Or neither?

Answer 9

neither! gracias.

Answer 10

^_^ You're welcome.