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Determine the domain and range of the set given inExercise 5

$$D=\{3,7,9\} R=\{-5,2,5,11\}$$

Algebra

Chapter 1

Functions and their Applications

Section 2

Basic Notions of Functions

Functions

Missouri State University

Campbell 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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Determine the domain and t…

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this problem is referencing set s that we saw back in exercise number five. Now, for this particular problem, we're going to make two definitions. We're going to define the domain of this set and the range. So let's look at the definitions of these two, um, sets first, the domain, the domain are all of the values that could go into my set or into my function if I have a function. So my domain is made up of the inputs when I have ordered pairs, that input is the first value or the X values. So let's look at the set s that we have here. My domain. My ex values are going to be made up of three, 73 and nine now, three shows up twice, but I only have to list it once in the domain. It doesn't matter how many times we see it. We just list the one time so I would list. This is three, seven and nine. So even though I have four points, my domain has three values, and that's okay that we don't have to indicate in any way that three comes up more than once in my set I just have to list all of the inputs. 37 and nine. What about range? Well, if domain is my input, then range is made up of my outputs. All the values that come out of the function or that are to come out of the set. So it is the second number in the ordered pair or the y values. So let's take a look at our set s. Well, our range would be our wise five to negative five and 11. Typically, we put these in ascending order, so I would have negative 5 to 5 and 11. So this is the domain and range from my set s.

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