Thread: Graph Info

I was wondering what would be the symmetry and if the function is even or odd for the following


:


tan(x)
Sec(x)
2^x
log base 2 of x
1/x
sqrt of x
sq rt of a^2-x^2

Any help will be really appreciated

The definition of an even function $\displaystyle f(x)$ is that $\displaystyle f(x) = f(-x)$.

The definition of an odd function $\displaystyle g(x)$ is that $\displaystyle g(x) = -g(-x)$.

So, to determine whether a function is even or odd, replace x with -x and see what happens. You should know that tangent is an odd function and secant is an even function, even though this is not immediately obvious without knowing identities or looking at graphs.