# Tagged Questions

117 views

### Is $x^x$ a polynomial, an exponential or both?

If $c$ is a constant, and $x$ is a variable, we'd say that $f(x) = x^c$ is a polynomial function of order $c$. Conversely, the function $f(x) = c^x$ would be called an exponential function. Is there ...
413 views

### Which is actually exponential?

I've heard the term "exponential" applied to two sorts of functions: $$n^x\text{, where n is a constant (e.g., 2^x)}$$ and $$x^2$$ Which is really exponential, and what do I call the other ...
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### Is there a name for the function $(1 - e^{ct})/(1 - e^{c})$?

$$f(t) = \frac{1 - e^{ct}}{1 - e^{c}}$$ This is a function which is somehow a streched exponential which is zero at $t = 0$, and one at $t = 1$, where $c$ determines the curvature (with $c = 0$, it ...
### What is the name of the function $f(x)=\frac{1}{x}$?
I'm facing this function: $$f(x)=\frac{1}{x}$$ What I know is that the above equation is one of the simplest forms of "rational functions", where the numerator is $1$ and the denominator is $x$. Is ...