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

Hi, everyone. Let's take a look at this practice problem. This problem says to determine F of 2 using the following graph of F of X. Although the question we're given a graph that has the curve F of X drawn on it, and it is actually a piece-wise function, consisting of a linear piece that is starting at the point of -6.4, and going to the point of -2.0, and that excludes that end point at X equal to -2. We then have a parabolic curve that starts from Minus 2.1, and goes to the point of 0.3. We then have a linear line that goes from 0.3. To the point of 4.1, and there are actually two points excluded. There is a hole at the point 2.2 and the endpoint of 4.1. There is an additional loan point that is denoted as a solid dot at the point located at 2.1. The final segment is a parabolic curve that begins at 4.4 and goes up to the point of 6.6. We're also given 4 possible choices as our answers. For choice A, we have 3, for choice B, we have 2, for choice C, we have 1, and for choice D, we have 0. Now the question asks us to determine the value of our function when X is equal to 2. So we're looking for F of 2. So, we're going to start off by looking at our X coordinate that is equal to 2. We're going to start at the X axis and go look up vertically. And find the point or points. That um could possibly be our value for our function. And we actually encountered two points. One that is a solid point, and the other that is a hollow point. Now, the hollow point indicates that the function is approaching that value, but not actually equal to that value. However, a solid point indicates that the function actually takes on the value at that point. So we actually want to use the solid point to determine the value of our function. And then if we look at the Y value, For this point, it is going to be equal to 1. So that means that F of 2 is going to be equal to 1, and that is the answer that I'm looking for. And so now, if I come down to my answer choices, the correct answer choice corresponds to answer choice C. So, I hope this explanation has been useful, and I'll see you in the next video.

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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