In Exercises 77–92, use the graph to determine a. the function's ...

Question

In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Graph showing points (-5,-4), (-3,1), (1,-2), (3,3), and (4,5) on a coordinate plane.

Accepted Answer

Welcome back. I am so glad you're here. We are asked to determine the domain and the range of the function in the graph below. So what are the domain and the range. Will we recall from previous lessons that the domain is going to be with the X values and the X values are on the horizontal axis that go left to right in our graph. And also when we have an ordered pair, the X value is going to come first in our ordered pair. Alright. How about the range? What's the range we recall from previous lessons that the range is associated with the Y values, the ones that go up and down vertically on that access and the Y values are going to come second when we have an ordered pair. And now what's the function here? Often we'll see a function being connected. Lines are a connected line but this time it's just these five points that are listed. So just these five points. Now, how do we determine the domain and range of the function that just has points. We're just going to list the X values for the domain and we're going to list the Y values for each point for our range. So let's start to the left, starting toward negative infinity for our X values. And we want to see what the first X value we have is and the first one is here at negative five. And so part of our domain is negative five. And then the associated part of the range is that -4 for that point. So now we've got that point as part of our domain and range. And let's continue on heading toward positive infinity along the X axis. Until we get to negative three. There's another point along negative three for the X. Value. So negative three is part of our domain. And the associated Y. Value for the range is one. Alright. We continue along the X axis heading toward positive infinity and we cross over and we hit this point positive one for our domain. And the associated Y. Value for the range is negative two. And now we continue heading along toward positive infinity until we get to three. There is a point at 33. So the X. Value the domain is three and the Y. Value for the range is also three. Alright we've got four of them down. We've got one more point to go. So we continue along until we get to four. There is a point at 45. So that X value for the domain is four and the Y value for the range is five. So we've got our domain and our range. Now let's take a look at our answer choices. Domain of negative five negative 3134. Well that's answer choice. B. And how about our range range of negative 41 negative 235. That is be alright. We have found our correct answer choice. Well done. We'll catch you on the next one

In Exercises 77–92, use the graph to determine a. the function's domain; b. the function's range; c. the x-intercepts, if any; d. the y-intercept, if any; and e. the missing function values, indicated by question marks, below each graph.

Key Concepts

Domain

Range

Intercepts

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