When comparing functions, we often look at their domain, range, behavior, and properties. Here are some key concepts to consider when comparing functions:
1. Domain and Range: The domain of a function is the set of all possible input values, while the range is the set of all possible output values. Compare the domains and ranges of two functions to see if they have any similarities or differences.
2. Function Properties: Functions can have different properties, such as being even, odd, increasing, decreasing, periodic, or discontinuous. Compare the properties of two functions to determine how they behave.
3. Graphical Comparison: Plot the graphs of the functions and compare their shapes, intercepts, slopes, and any points of interest. This visual representation can help you understand how the functions relate to each other.
4. Algebraic Comparison: Compare the algebraic formulas of the functions to see if they have any common factors, constant terms, or other similarities. This can help you determine if the functions are related in any way.
Overall, comparing functions involves analyzing their key characteristics and properties to determine how they are alike or different. This can help you understand the relationships between different functions and make predictions about their behavior.
Comparing Functions Quick Check
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