# Example of domain and range a relationship

### How to find domain and range from a graph (video) | Khan Academy

of all values for which the function is defined, and the range of the function is the You can also talk about the domain of a relation, where one element in the . State the domain and range of the following relation: x² - x - 6 = 0 to find the problem spots of x = -2 and x = 3 which cause a zero denominator in this example. In domain and range of a relation, if R be a relation from set A to set B, then • The set of all first Determine the domain and range of the relation R defined by.

The domain is every value of time during the throw, and it runs from the instant the ball leaves your hand to the instant it returns. Time before you throw it and after you catch it are irrelevant, since the function only applies for the duration of the toss. The range is every height of the ball during the throw, and it includes all heights between your hand when you let the ball go and the highest point the ball reached before it began to fall back to you.

If your hand was 3 feet above the ground when you threw and caught the ball, and the highest it flew was 12 feet off the ground, then the range is feet. We can make a function out of this series by using the number of the figure as the input, and the number of squares that make up the figure as its output. An input of 1 has an output of 1, since figure 1 has just 1 square.

## How Do You Find the Domain and Range of a Relation?

An input of 2 has an output of 5, since figure 2 has 5 squares. An input of 3 has an output of 9, since figure 3 has 9 squares. Let's do a few more. What is its range?

### Domain and Range of a Relation | Worked-out Problems on Domain and Range| Range

So now, we're not thinking about the x's for which this function is defined. We're thinking about the set of y values. Where do all of the y values fall into? The lowest possible y value or the lowest possible value of f of x that we get here looks like it's 0. The function never goes below 0. So f of x-- so 0 is less than or equal to f of x. It does equal 0 right over here. And then the highest y value or the highest value that f of x obtains in this function definition is 8.

It never gets above 8, but it does equal 8 right over here when x is equal to 7. So 0 is less than f of x, which is less than or equal to 8.

So that's its range. This is kind of fun. So once again, this function is defined for negative 2. The domain is the set of all first elements of ordered pairs x-coordinates.

- Worked example: domain and range from graph

The range is the set of all second elements of ordered pairs y-coordinates. Only the elements "used" by the relation or function constitute the range. Set Builder notation may be used to express domains and ranges. State the domain and range of the following relation: No, this relation is not a function.

The eye colors are repeated. State whether the relation is a function. While these listings appear in ascending order, ordering is not required. Do not, however, duplicate an element.

**Domain and range of a function - Functions and their graphs - Algebra II - Khan Academy**

The x-value of "1" had two corresponding y-values 3 and State the domain and range for the elements matched in the diagram below. State whether the matches form a function. Note that the range is only the elements that were used. It is the "possible" set from which output from the relation will fall.

## Domain and Range of a Relation

The co-domain is NOT necessarily the same as the range. There may be values in the co-domain that are never used. State the domain and range associated with the scatter plot shown below.