Step 1 :The basic exponential function is \(y=a^{x}\), where a is a positive real number. In this case, a is 2.
Step 2 :The function \(f(x)=2^{x}-5\) can be obtained from the basic exponential function by shifting it down by 5 units.
Step 3 :To sketch the graph, we can generate a range of x values, compute the corresponding y values using the function \(f(x)=2^{x}-5\), and then plot these points.
Step 4 :After executing this code, we should observe the graph of the function \(f(x)=2^{x}-5\). It should look like the graph of \(y=2^{x}\), but shifted down by 5 units.
Step 5 :\(\boxed{\text{Final Answer: The graph of } f(x)=2^{x}-5 \text{ can be obtained from the graph of the basic exponential function } y=2^{x} \text{ by shifting it down by 5 units.}}\)