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Determine the domain and range of the set given inExercise 6

$$D=\{2,3,5,6\} R=\{-1\}$$

Algebra

Chapter 1

Functions and their Applications

Section 2

Basic Notions of Functions

Functions

Harvey Mudd College

University of Michigan - Ann Arbor

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 is referencing set t that we saw back in exercise number six. And for this particular upset, we're going to define two things. We're going to see the domain and the range for this set. So let's look at domain. First. Domain is made up of all of our inputs into the set or into a function that is the first number in the ordered pairs. So we can think of domain as the X values of these pairs. Taking a look at what we have here for tea. I have four different input values. Different X values 235 and six. So I would list them in my domain like this. 2356 Okay, what about my range? Well, if domain is input range is output. It's the second value in the order pair. It's the value that you get out when you put something into it. So the output are the Y values the second numbers now for this particular set. Even though there's four pairs, every single number in the output is the same. So my range on Lee has one value in it. Negative one. I don't list it four times I don't have to indicate that it happens more than once. I just have to list the fact that negative one is an output. In fact, it's the only output for this set, so my domain and my range for set T.

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