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Determine the domain and range of the set given inExercise 3

$$D=\{3,4,7,11\}, R=\{-5,11,19\}$$

Algebra

Chapter 1

Functions and their Applications

Section 2

Basic Notions of Functions

Functions

McMaster University

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

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Determine the domain and r…

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for this problem, we're going to reference the function H that we saw back and exercise number three. And for this function there are two things we're going to define. We want to define both the domain and the range. Okay, so let's look at domain first domain, though that includes everything that is an input to your function numbers that can go in. That's your domain. When you have an ordered pair like this, theme input is the first number in your ordered pair or your ex values. So let's take a look at H. What are our inputs? What are our X values? Well, it's four different numbers three, 47 and 11. You can put these numbers in any order as your listing them in your domain. Most people, though, will put them in numerical order, which is how I have from here. Okay, now let's look at our range. The range if domain is input range is your output. It's the numbers that you get out of the function after you put something in with ordered pairs. It's gonna be the second value, which are your Y values. So let's take a look at our range here. Why? Why values Negative. Five. Negative. 5, 11 and 19. Now, if we have a pair that shares the same output, we only have to list it once. I don't have to put it twice, so I'd say my ranges. Negative. Five, 11 and 19. It's OK that I have three numbers in my domain or in my range. Make sure my number. It's okay. They have four numbers in your domain and three numbers in your range. They don't have to be the exact same number in each one. We have less in the range because there's a shared number there. So these two sets showed the domain and range for my function, H.

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