Questions and Answers
If a negative number is added to a radical function, its graph will shift ___ by the value of that number.
down
When we compose functions, we must make sure that the output of the first function is part of the ___ of the second function.
domain
If the variable of a radical function is multiplied by a number, the graph of the function will be ___ and enlarged by the value of that number.
stretched
If a positive number is added to the variable of a radical function, its graph will shift to the ___ by the value of that number.
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We expect to see a ___ for the graph of a composition of a function and its inverse function, if the domain of each is all real numbers.
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In general, the composition of functions is not ___.
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Study Notes
Function Transformations
- Adding a negative number to a radical function shifts the graph down by that value.
- Adding a positive number to a variable in a radical function shifts the graph right by that value.
- Multiplying the variable in a radical function by a number results in the graph being stretched and enlarged by that value.
Function Composition
- Ensure the output of the first function is included in the domain of the second function when composing functions.
- The graph of a composition of a function and its inverse function should ideally show a line if both domains consist of all real numbers.
Function Properties
- The composition of functions is generally not commutative, meaning the order of functions affects the outcome.
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Description
Test your knowledge of key concepts in Algebra 2 Unit 7 with these flashcards. This quiz covers essential vocabulary such as 'down,' 'domain,' and 'stretched,' related to radical functions and their properties. Perfect for review and self-assessment!
