00:01
If we have the function, f of x equals 3 times x to the 5th plus 4 times x cubed, and we want to determine is this function even odd or neither.
00:12
Well, to be even, that means when you input the opposite, so negative x, you get out the same original function.
00:24
And for odd functions, when you have that negative x input, you get the opposite of the function.
00:32
So let's test what is f of negative x in this case.
00:35
Well, that would be three times negative x to the fifth plus four times negative x cubed.
00:42
Anytime you raise a negative to an odd power, it is negative.
00:46
So that is negative 3x to the fifth plus a negative 4x cubed or negative 4x cubed...