Sketch the graph of $f(x)=2^{x}-5$. Describe how the graph can be obtained from the graph of a basic exponential function.

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The graph of $f(x)=2^{x}-5$ is the basic exponential function
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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 ：\(\boxed{\text{Final Answer: The graph of } f(x)=2^{x}-5 \text{ can be obtained from the graph of the basic exponential function } y=2^{x} \text{ by shifting it down by 5 units.}}\)