Exponential and Logarithmic Functions

If the function $f(x) = e^{2x}$ has an inverse, which of the following represents $f^{-1}(y)$?

If $f(x) = \frac{x^2 - 4}{x - 2}$ for $x \neq 2$, which of the following defines $f(2)$ so that $f(x)$ is continuous at $x = 2$?

What do you call the set of all possible outputs for a given function?

What effect does subtracting $\pi$ from each x-value in $\sin(x)$, creating $\sin (x-\pi)$, have on its period and phase shift?

If $f(x) = e^x$ represents an exponential growth process starting from one unit, what is $f(0)$?

After adding the binomials $X+y$ and $(X-y)$, what is the result?

For a bijective cubic function $f$ defined by $f(x)=a*(x-h)^3+k, a \neq 0$, which condition ensures that $h$ or $k$ do not alter the property that guarantees $f^{-1}$ exists?

What term describes an exponential function's rate change over time?

If $a$ and $b$ are real numbers, which property demonstrates that $ab = ba$?

If you subtract $(4k + 8)$ from $(9k + 16)$, what is the result?