Given
[tex]f(x)=6\times3^x[/tex]To Determine: The range of the given function
The range of f(x) is the value of f(x) for which the function is real and defined
[tex]6\times3^x=2\times3\times3^x=2\times3^{1+x}[/tex]The range is
[tex]f(x)>0[/tex]hence, The range of the given function f(x) is all positive real numbers is TRUE