Question

what is the range of this exponiental function y=6×

Answer 1

Range of the Exponential Function

The range of a function y = f(x) is the set of all the functions' values when x moves through its domain.

It's required to find the range of the function:

$y=6^x^{}$

The domain of the function is the set of all the real numbers because x can be given any possible value and y would still exist.

For example, let's give x the values x={-3,-1,0,2,4}

$f(-3)=6^{-3}=0.005$$f(-1)=6^{-1}=0.167$$f(0)=6^0=1$$\begin{gathered} f(2)=6^2=36 \\ f(4)=6^4=1296 \end{gathered}$

It's clear that for negative values of x, the function tends to zero and for positive values, the function tends to infinity.

Thus, the range of the function is (0,