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Posted on April 22, 2022 (Updated on July 9, 2025)

What is the range of the relation plotted on the graph?

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The range is the set of all possible output values (usually y), which result from using the formula. If you graph the function y = x2 – 2x – 1, you’ll see that the y-values begin at -2 and increase forever.

How do you find the range of a relation on a graph?

Remember that the range is how far the graph goes from down to up. Look at the furthest point down on the graph or the bottom of the graph. The y-value at this point is y = 1 y=1 y=1. Now look at how far up the graph goes or the top of the graph.

What is the range of your relation?

The range of a relation is the set of the second coordinates from the ordered pairs.

What is the range of the function on the graph?

The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.

How do you find the range?

The range is calculated by subtracting the lowest value from the highest value.

How find the range of a function?

Overall, the steps for algebraically finding the range of a function are:

  1. Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
  2. Find the domain of g(y), and this will be the range of f(x). …
  3. If you can’t seem to solve for x, then try graphing the function to find the range.


What is the range of a function example?

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,…} then the range is {1,4,9,…}

How do you find the range without a graph?

Video quote: But the best way to find the range without graphing is to create a table of your X and your Y values. And remember the Y is the range and the X is the domain.

What is the range calculator?

The Range Calculator is used to calculate the range value of a set of numbers.

What is a range of a data?

The range in statistics for a given data set is the difference between the highest and lowest values.

What does the range mean in statistics?

In statistics: Numerical measures. The range, the difference between the largest value and the smallest value, is the simplest measure of variability in the data. The range is determined by only the two extreme data values.

How do you find domain and range on a graphing calculator?

Video quote: Value of X minus 3 and then from there we want to find the domain and range again. So I just want to show you where the absolute value button is on your calculator.

How do you write domain and range?

Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range.

How do you write range on Desmos?

To limit the domain or range (x or y values of a graph), you can add the restriction to the end of your equation in curly brackets {}. In the example graph above the line y=2x is restricted for x values between 1 and 3. You can also use restrictions on the range of a function and any defined parameter.

What is a function range and domain?

Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

What is this range?

The Range is the difference between the lowest and highest values. Example: In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. So the range is 9 − 3 = 6.

How do you write a range?

One way to write the range of a graph is by using interval notation. We start from the bottom and write the intervals that y is defined on. Use brackets, [], when the endpoints are included and parentheses, (), when the endpoints are excluded.

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