# What is support of beta distribution? [duplicate]

I do know that the probability density function of beta distribution is $$\frac{x^{\alpha-1}(1-x)^{\beta-1}} {\displaystyle \mathrm {B}(\alpha,\beta)}\!$$ where $${\displaystyle \mathrm {B} (\alpha ,\beta )={\frac {\Gamma (\alpha )\Gamma (\beta )}{\Gamma (\alpha +\beta )}}}$$

Also, I know that support of a function is the subset of the domain containing those elements which are not mapped to zero. But I don't know how do I go about calculating the support for beta distribution.

• What values of the density would you get if either $x$ or $1-x$ were negative?? – whuber Mar 24 '19 at 14:38
• In addition to @whuber, have a look here: math.stackexchange.com/a/2355251/614436 – CIAndrews Mar 24 '19 at 14:40
• Also Wikipedia. – BruceET Mar 24 '19 at 23:29