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Domain And Range Of A Function Examples And Answers
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Here are some examples Set of even numbers 4 2 0 2 4 Set of odd numbers 3 1 1 3 Set of prime numbers 2 3 5 7 11 13 17 Positive multiples of 3 that are less than 10 3 6 9 This is best done using Sets In fact a function is defined in terms of sets Domain Codomain and Range
In this section we will practice determining domains and ranges for specific functions Keep in mind that in determining domains and ranges we need to consider what is physically possible or meaningful in real world examples such as tickets sales and year in the horror movie example above
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9 Domain Range Graph Worksheet Worksheeto
9 Domain Range Graph Worksheet Worksheeto
A function is a relation where every domain x value maps to only one range y value If you have the points 2 3 4 6 1 8 and 3 7 that relation would be a function because there is only one y value for each x
For example we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers Or in a function expressed as a formula we cannot include any input value in the domain that would lead us to divide by 0
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Engaging Students Finding The Domain And Range Of A Function Mean
Engaging Students Finding The Domain And Range Of A Function Mean
This video provides two examples of how to determine the domain and range of a function given as a graph Examples of how to determine the domain and range of a function given as a graph How to Find the Domain Range of a Function Finding the domain and range of a function is as simple as finding the possible X and Y values
For example the function f x sqrt frac 1 x has the set of all positive real numbers as its domain but the set of all negative real numbers as its range As a more extreme example a function s inputs and outputs can be completely different categories for example names of weekdays as inputs and numbers as outputs as on an
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https:// math.libretexts.org /Bookshelves/Algebra...
In this section we will practice determining domains and ranges for specific functions Keep in mind that in determining domains and ranges we need to consider what is physically possible or meaningful in real world examples such as tickets sales and year in the horror movie example above
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Solved Examples Example 1 Find the domain and range of a function f x 3x 2 5 Solution Given function f x 3x 2 5 We know that the domain of a function is the set of input values for f in which the function is real and defined The given function has no undefined values of x
In this section we will practice determining domains and ranges for specific functions Keep in mind that in determining domains and ranges we need to consider what is physically possible or meaningful in real world examples such as tickets sales and year in the horror movie example above
Solved Examples Example 1 Find the domain and range of a function f x 3x 2 5 Solution Given function f x 3x 2 5 We know that the domain of a function is the set of input values for f in which the function is real and defined The given function has no undefined values of x
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What Are The Domain And Range Of A Function
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Ex 2 3 2 Find The Domain And Range Of The Function F x x