Problem

6. Graph the function $f(x)=2^{x+1}$

Answer

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Answer

\(\boxed{\text{The graph of the function } f(x)=2^{x+1} \text{ is an exponential curve that increases as x increases.}}\)

Steps

Step 1 :Generate a range of x-values.

Step 2 :Compute the corresponding y-values using the function $f(x)=2^{x+1}$.

Step 3 :Plot these points on a graph.

Step 4 :The graph of the function $f(x)=2^{x+1}$ is an exponential curve that increases as x increases. The curve is above the x-axis for all x, and it approaches the x-axis as x approaches negative infinity. The curve increases rapidly as x increases.

Step 5 :\(\boxed{\text{The graph of the function } f(x)=2^{x+1} \text{ is an exponential curve that increases as x increases.}}\)

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