Question

Determine if the given functions are even, odd or neither. f(x) = -2x2 - 7 and g(x) = 2x2 + 3

Answer 1

Answer:

It's odd.

Explanation:

A function is odd when f(−x)=−f(x)

f(−x)=6(−x)3−2(−x)

=−6x3+2x

=−(6x3−2x)

=−f(x)

Thus, the function is odd.

If a function is odd, then it is symmetric over the x-axis.