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inversesThe slideshow on the left depicts how normal sin, cos, and tan functions can have inverses that aren't originally functions but can be made into functions by limiting the domain. This visual represents my understanding of inverses and limited domains.
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It's important to remember that NOT all Relations are functions. Every function's inverse is a relation but NOT necessarily a function! Only one-to-one functions or functions that pass both the horizontal and vertical line tests can have their inverses' be functions without the need of domain restrictions.
when can I get graph happy?
Click on the pictures above for real world examples of when to use trigonometric graph! These examples helped me to understand trigonometric applications and better visualize the graphs.