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Determine the domain and range of the set given inExercise 2

$$D=\{2,3,5,7\}, R=\{-5,4,9,11\}$$

Algebra

Chapter 1

Functions and their Applications

Section 2

Basic Notions of Functions

Functions

Campbell University

Oregon State University

Baylor 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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this problem references the set of numbers they're given an exercise to which is the set G. And for this problem, we want to find two things we want to find the domain of G and we want to find the range. So let's look at domain first domain. Those are inputs, the values that go into our function. It's the first number in our ordered pairs. So we can also think of domain is the X values that we can have for our set. Well, so let's take a look at G. What are our input values? Well, those are gonna be our exes. 237 and five. So I can write a set with those numbers and most people will put the's in numerical order. They don't have to stay in the order in which they're defined in G. We can put those numbers in any order. I like to see them in ascending order because I could just make sure I haven't missed anything that way. Okay, so those four numbers are inputs are X values. That is our domain now for our range range is the output. It is the second value in our order pair. It's when you when you put a number in, what do you get out? So we can think of range as the Y values for our ordered pairs here. So when I define my range again, I'm gonna get a set of numbers. I'm gonna put these in numerical order again, but fortunately, they're actually given a numerical order in the points here I have negative five, 49 and 11. So these are the numbers that make up both our domain and our range.

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