identifying domain and range
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http://mathforum.org/library/drmath/view/54551.html
http://www.purplemath.com/modules/fcns2.htm
http://www.freemathhelp.com/domain-range.html
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To identify the domain and range of a function, you need to understand what these terms mean.
The domain of a function refers to the set of all possible input values, or x-values, for which the function is defined. In other words, it represents the values that you can plug into the function to get an output.
On the other hand, the range of a function refers to the set of all possible output values, or y-values, that the function can produce. It represents the values that the function can take on after you input certain values.
To determine the domain and range of a function, follow these steps:
1. Start by examining the given function. Note any restrictions on the values of x that may cause the function to be undefined, such as dividing by zero or taking the square root of a negative number. These restrictions will impact the domain.
2. Identify the largest and smallest values that x can take on based on any given restrictions or the nature of the function itself. This will help define the domain.
3. Once you have determined the domain, consider how the values of x translate into the corresponding y-values based on the function.
4. Note the highest and lowest values that the function can produce for y. These values will help define the range.
5. Lastly, write the domain and range using interval notation, inequalities, or descriptive language, depending on the given function and its nature.
It's important to note that not all functions explicitly define their domain and range. In some cases, you may need to analyze the function or its graph to determine this information.
By following these steps and analyzing the function, you can confidently identify the domain and range of a given function.