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

User Jerry Saravia
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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,

User Jake Berger
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