Question

Enunciado: Traza la gráfica de la función. Traza también la gráfica de la asíntota, si es distinta al eje de x o al eje y. Define el Rango y el Dominio. h(x)=log(1/3) x

Answer 1

The given function is

`h(x)=log_{(1)/(3) } (x)`

It's important to know that logarithms are the opposite function to exponentials, which means their domains and ranges are defined the opposite way.

The domain of logarithms is restricted, because negative numbers or the zero is not allowed in their domains. So, the domain of this function is:
`D:(0, infinite]`

On the other hand, its range is not restricted, so it's defined:
`R: (infinite, -infinite)`

The image shows the graph of this function, there you can observe its domain and range set definitions.