Domain and Range of Functions. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Domain and range can be seen clearly from a graph.
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A A Y U S H I answered this
Thank's Krish..! but I need Examples too .
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D U M B F O U N D E A D answered this
THIS IS THE GRAPH (ENLARGED)
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D U M B F O U N D E A D answered this
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero
The number under a square root sign must be positive in this section
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A A Y U S H I answered this
I asked HOW TO FIND DOMAIN AND RANGE not to define them !! # Krish
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D U M B F O U N D E A D answered this
How to find the domain
In general, we determine the domainof each function by looking for those values of the independent variable (usually x) which we are allowed to use. (Usually we have to avoid 0 on the bottom of a fraction, or negative values under the square root sign).
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)
Make sure you look for minimum and maximum values of y.
Draw a sketch! In math, it's very true that a picture is worth a thousand words!!!
THIS IS THE GRAPH (ENLARGED)