![]() ![]() Each value of our domain will give us a unique peanut butter and jelly sandwich and therefore we know that the equation we have defined is indeed a function. Specifically, our function will only give us peanut butter and jelly sandwiches, and therefore those are our range. We are planning on making a sandwich, so our codomain can be defined as a set of all of the sandwiches. Our candidate function is given as PB + J + B = PB&J and our domain is all the possible peanut butter, jams, and breads that can be used to make our sandwich. Suppose we want to make a peanut butter and jelly sandwich. The definition of range in math can be given as the difference between the maximum value and minimum value within the set. ![]() Let's give one last (admittedly rather contrived) example. So long as the range is a subset (fits completely) inside the codomain, the codomain is valid for the function. For example, in Ohm's law, we could define the codomain as the set of all real and complex numbers, C, which is a larger set than the range of the function that we have defined. The sets X and Y are called domain and codomain of f, respectively. Like the domain, the codomain is part of the function definition and it represents the set of values that are considered potential candidates for the output of a function. In mathematics, the range of a function may refer to either of two closely related concepts: Given two sets X and Y, a binary relation f between X and Y is a (total) function (from X to Y) if for every x in X there is exactly one y in Y such that f relates x to y. If you have any other Math related questions, drop us a comment and we will endeavor to get back to you or check if we already have answered it for you.Unlike the domain, which is part of the definition of the function, the range is a result of a given function and its domain, thus it is not required as part of a function definition.įinally, the term codomain is sometimes used in engineering literature. Then subtract the smallest value from the largest value in the set. To find the range, first order the data from least to greatest. Summary: The range of a set of data is the difference between the highest and lowest values in the set. Highest – lowest = 8.3 hr – 2.7 hr = 5.6 hrĪnswer: The range of swim times is 5.6 hr. What is the range of times given in hours below? ![]() ![]() Highest – lowest = 19 – –12 = 19 + +12 = +31Īnswer: The range of these integers is +31.Įxample 3: A marathon race was completed by 5 participants. Kaiser listed 9 integers on the blackboard. Solution: Ordering the data from least to greatest, we get:Īnswer: The range of gasoline prices is $0.48.Įxample 2: Ms. Gasoline prices varied from state to state. ExamplesĮxample 1: The Jaeger family drove through 6 midwestern states on their summer vacation. The single value of 3616 makes the range large, but most values are around 10. Every element in X has associated with it exactly. The range can sometimes be misleading when there are extremely high or low values. One way to demonstrate the meaning of this definition is by using arrow diagrams. In other words, the domain is the set of values that we can plug into a function. STRUGGLING WITH MATH? Get the assistance, on-going support and tutors you need to learn faster, make fewer mistakes and get the grades you deserve. The range of a function is all the possible values of the dependent variable y. The Range is the difference between the lowest and highest values.Įxample: In the lowest value is 3, and the highest is 9. ![]()
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