In my province we need to teach students how to take the square root of a function when given the actual function or a graph of that function (in Grade 12 Pre-Calculus Mathematics).
Why is this relevant? When would you ever need to do this in real life?
Modeling skid marks in vehicle accidents!
This is one of the only application problems I found that incorporates taking the square root of a function for a purpose (other than to just perform the procedure or do the math).
In this document, my answers (which are hopefully correct and mathematically accurate!) are included in red/blue.
I created this worksheet/problem for students to work on as an application of radical functions because I don’t like telling students the only reason they are learning a certain topic is that it will be on the test or they will need it in later mathematics courses. Sure, every topic does not have an immediate application, but I like to use them whenever I can to keep students interested and for them to see that mathematicians discovered these concepts for a reason, not just for ‘fun’.
Here it is! Enjoy!
Any feedback you have, whether positive or negative is greatly appreciated. This is the first worksheet I have made about radical functions and their applications so I am not expecting it to be perfect!