Questions: Use the graphing window below to plot the function f(x) that has the following characteristics: 1. The zeros or roots of f(x) are at x = -3 and x = -2 2. As x → ∞, f(x) → ∞; As x → -∞, f(x) → ∞. Use the slider on the upper left corner of the graphing window to specify the number of zeros or roots the function has. Then move the blue points along the x-axis to graph the zeros of the function. You may also use the slider on the lower right corner of the graphing window to vertically "flip" f(x). This will allow you to control the end behavior of the function.

Use the graphing window below to plot the function f(x) that has the following characteristics:

1. The zeros or roots of f(x) are at x = -3 and x = -2
2. As x → ∞, f(x) → ∞; As x → -∞, f(x) → ∞.

Use the slider on the upper left corner of the graphing window to specify the number of zeros or roots the function has. Then move the blue points along the x-axis to graph the zeros of the function. You may also use the slider on the lower right corner of the graphing window to vertically "flip" f(x). This will allow you to control the end behavior of the function.

Transcript text: Use the graphing window below to plot the function f(x) that has the following characteristics: 1. The zeros or roots of f(x) are at x = -3 and x = -2 2. As x → ∞, f(x) → ∞; As x → -∞, f(x) → ∞. Use the slider on the upper left corner of the graphing window to specify the number of zeros or roots the function has. Then move the blue points along the x-axis to graph the zeros of the function. You may also use the slider on the lower right corner of the graphing window to vertically "flip" f(x). This will allow you to control the end behavior of the function.

Solution

Solution Steps

Step 1: Identify the zeros

The problem states that the zeros of the function are at x = -3 and x = -2.

Step 2: Plot the zeros

On the graphing window, place the blue dots at x = -3 and x = -2 on the x-axis.

Step 3: Determine end behavior and adjust accordingly

The problem states that as x approaches positive infinity, f(x) approaches positive infinity, and as x approaches negative infinity, f(x) approaches positive infinity. Since the provided graph already matches this behavior (both ends go upwards), no flipping is required. Leave the "Flip up/Flip down" slider in the "Flip up" position.

Final Answer

The graph with zeros at x = -3 and x = -2 and with both ends extending upwards towards positive infinity is the final answer. This is already represented in the initially given plotted graph after placing the blue dots at the correct locations on the x-axis.

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