Determine whether each relation defines a function, and give the ...

Question

Determine whether each relation defines a function, and give the domain and range. See Examples 1–4. {(1,1),(1,-1),(0,0),(2,4),(2,-4)}

Accepted Answer

Hello, everyone. We've been given a set of ordered pairs and asked to identify if they represent a function. Also, we need to find the domain and range. The ordered pairs were given our 13 5, 13, negative 5, 14, 14, 15, 7 and 15 negative seven. I recall for this to be a function. I need to make sure every X value goes to only one Y value. I find it's easiest to do that by making a tea table of my X and Y values. So I know 13 5, 13 negative five, 14, 14, 15, 7 and 15 negative seven. So now looking at the tea table, I just created, I recognize that 13 is there twice under the X as is 15. This means that that X value goes to two different live values. And since that's the case, this is not a function because each X value could go to only one Y value. And since 13 goes to both five and negative five And 15 goes to seven and -7. This is not a function. The domain is gonna be our X values. And as we see, there are doubles, we only need to write them once we do not need to write it twice. So our domain is 13, 14, 15 ranges are Y values. And if there were duplicates there, I also would only write them once. Um I'm going to write them from least to greatest. So negative seven, negative five five 14. So we have determined this is not a function That it has a domain of 13, 14 15, A range of -7, And that means this is answer choice. A have a nice day.

Determine whether each relation defines a function, and give the domain and range. See Examples 1–4. {(1,1),(1,-1),(0,0),(2,4),(2,-4)}

Key Concepts

Definition of a Function

Domain and Range

Ordered Pairs

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