What is the range of the given exponential function below?
$2^{x} - 1$

Answer

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Final Answer: The range of the given exponential function is $(0, \infty)$ .

Steps

Step 1 ：The given function is $2^{x} - 1$ .

Step 2 ：The range of an exponential function of the form $f (x) = a^{x}$ where $a > 0$ and $a \neq 1$ is $(- \infty, \infty)$ .

Step 3 ：However, in this case, the function is shifted down by 1 unit.

Step 4 ：So the range should be $(1 - 1, \infty) = (0, \infty)$ .

Step 5 ：Final Answer: The range of the given exponential function is $(0, \infty)$ .