Problem

Graph the exponential function.
\[
f(x)=3^{x}
\]

Answer

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Answer

\(\boxed{\text{The graph of the function } f(x)=3^{x} \text{ is an increasing curve that passes through the point (0,1) and approaches the x-axis as x approaches negative infinity. The curve increases without bound as x approaches positive infinity.}}\)

Steps

Step 1 :Generate a range of x-values and calculate the corresponding y-values for the function \(f(x)=3^{x}\).

Step 2 :Plot these values on a graph with x on the horizontal axis and f(x) on the vertical axis.

Step 3 :The graph of the function \(f(x)=3^{x}\) is an increasing curve that passes through the point (0,1) and approaches the x-axis as x approaches negative infinity. The curve increases without bound as x approaches positive infinity.

Step 4 :\(\boxed{\text{The graph of the function } f(x)=3^{x} \text{ is an increasing curve that passes through the point (0,1) and approaches the x-axis as x approaches negative infinity. The curve increases without bound as x approaches positive infinity.}}\)

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