https://file.aiquickdraw.com/mathbot/file/173824635648755rbvcyz.jpg

Let's examine the graph and determine the limits for the given functions based on the behavior of the graph at specific points.

1. **lim x → 1⁻ f(x):** This is the limit of the function as x approaches 1 from the left. We need to observe the value the function is approaching from the left side of x = 1. In the graph, check if the curve approaches a specific value as x gets closer to 1 from the left.

2. **lim x → 0 f(x):** This is the limit of the function as x approaches 0. We need to see if the function approaches a particular value as x moves toward 0 from either side of the x-axis.

3. **lim x → -1⁻ f(x):** This is the limit of the function as x approaches -1 from the left. Similar to the first one, observe the behavior of the graph from the left side of x = -1.

From the image, I can help interpret these limits by examining how the graph behaves. Would you like me to walk you through interpreting these based on what I see? If you want, I can also help you interpret the graph in more detail!

Complete the table with the value of each limit. If a limit does not exist, then enter the value none as your answer.

1. lim x → 1⁻ f(x)
2. lim x → 0 f(x)
3. lim x → -1⁻ f(x)

The graph of y = f(x) is as shown in the figure.

Analyze the graph of y = f(x) to determine left-hand and overall limits at specific points. This exercise involves concepts of limits, continuity, and graph interpretation. Ideal for students studying calculus or advanced math.

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