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

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

Solution

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.