Questions: Select the graph of y=(-2) 2^x.

Select the graph of y=(-2) 2^x.
Transcript text: Select the graph of $y=(-2) 2^{x}$.
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Solution

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Solution Steps

To graph the function $y=(-2)2^{x}$, we need to understand the behavior of exponential functions. The base of the exponential function is 2, which means the graph will increase rapidly as x increases. The negative coefficient -2 will reflect the graph over the x-axis.

To plot the graph, we can choose a range of x values, calculate the corresponding y values using the function, and then plot the points.

Step 1: Calculate the y values for the given x values

Given \( x = \text{np.linspace}(-5, 5, 100) \), we need to calculate the corresponding y values using the function \( y = (-2)2^{x} \).

Step 2: Plot the graph

Plot the graph of the function \( y = (-2)2^{x} \) using the x and y values obtained in step 1.

Final Answer

The graph of \( y = (-2)2^{x} \) is shown.

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