Find the Domain and Range f(x)=2(3^X)

The function declaration ${\displaystyle f\left(x\right)}$ varies according to ${\displaystyle x}$, but the input function ${\displaystyle 2\left(3^X\right)}$ only contains the variable ${\displaystyle X}$. Assume ${\displaystyle f\left(X\right)=2\left(3^X\right)}$.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

Set-Builder Notation:

The range is the set of all valid ${\displaystyle y}$ values. Use the graph to find the range.

Interval Notation:

Set-Builder Notation:

Determine the domain and range.

Domain: ${\displaystyle (-\infty ,\infty ),\left\{X\right|X\in ℝ\}}$

Range: ${\displaystyle (0,\infty ),\left\{y\right|y>0\}}$