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Suppose y=f(x)=e^(x). Describe the graph...

Suppose `y=f(x)=e^(x)`. Describe the graph of `y=e^(x)+3`

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To describe the graph of \( y = e^x + 3 \), we can follow these steps: ### Step 1: Understand the Base Function The base function is \( y = f(x) = e^x \). The graph of this function is an exponential curve that starts near the x-axis (as \( x \) approaches negative infinity) and rises steeply as \( x \) increases. The graph passes through the point (0, 1) since \( e^0 = 1 \). ### Step 2: Identify the Transformation The function we are analyzing is \( y = e^x + 3 \). This represents a vertical shift of the original function \( y = e^x \) upwards by 3 units. ...
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