Use the graph of f in the figure to evaluate the function or a...

Question

Use the graph of f in the figure to evaluate the function or analyze the limit.

f(−1)

Accepted Answer

Welcome back, everyone. Evaluate F of -2 using the following graph of FF X. We're given the graph of a function F of X, and we want to evaluate its value at a. -2. X is equal to -2, and we want to evaluate f of -2. So first of all, let's identify X equals -2 on the graph so we can clearly see where it is. And now we can clearly see that the dark red curve represents Y equals F of X. Now notice that if we consider X equals -2, we have two different points on the function. One of those points. I hollow. And the other one is filled. Now the filled one is defined as a point for which our function is defined, so its value exists at that specific point. So F at -2 is defined at the point that is filled or basically solid, right? And now for the open point or the hollow one, the function is not defined at F of -2 from the left. So we can essentially say that we can only evaluate the limit from the left of that point. When x approaches negative t from the left. So basically the limit exists from the left of that point, but at that point itself, while we do not consider the left part of the curve, we have to consider the right part of the curve where we have a filled point. So now that we have located the point of interest, we have to identify the value of Y. And now we can see that the value of Y is going to be equal to 1. So F at -2 is equal to 1, and that's our final answer. Thank you for watching.

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>
f(−1)

Key Concepts

Function Evaluation

Graph Interpretation

Limits

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