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Determine the domain and range of the set given inExercise 1

$$D=\{-1,1,2,12\}, R=\{3,5,9,23\}$$

Algebra

Chapter 1

Functions and their Applications

Section 2

Basic Notions of Functions

Functions

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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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this problem references the function from exercise one. This is a function f and it's made up of four unique points. And for this problem, we want to determine the domain and the range of this set. So you want the domain? You protect that in here and the range. Okay, so let's review the definitions. What do we mean by domain? What do we mean by range? Well, domain domain are inputs, the values that we're putting into our function. This is the first of our ordered pairs. So when we have pairs written as X Y, you can think of this as our X values that go into our function range is our output, the values we get out of the function. It's the second of the two of the ordered pair, which means these with the Y values for our function. So let's take a look at our function F that we have here Our domain are gonna be all of our X values Now, Technically, we don't have to put these into into a numerical order, but it's often easier to read, So I'm going to write thes from least two greatest. I'm just going to pick out all of our X values from each of these ordered pairs. So I have negative one, 12 and 12. So the set of those four points is our domain. Those are inputs. Well, how about our range? Well, those were going to be our Y values. And again, I'm going to put these in numerical order. Just I think it makes a little bit easier to read down the line. So we have 359 and 23. Those four values are our range. Those are the output for our function.

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