Darius B. answered • 04/05/22
Conceptual Math Teacher Specializing in Algebra, Geometry and Writing!
Hey!
What you need to be looking for here is how the x values are changing (with respect to y). In other words, as the x-values increase, what's happening with the y-values?
It is crucial that you know that the exponential/logarithmic functions' x-values with respect to y change EXTREMELY quickly! They are also one-to one meaning EVERY x-value gets exactly one y-value and vice versa.
Rational Functions are asymptotic - there is always some value that is undefined for x. Meaning there are typically one (or more) domains where the function is defined.
Polynomial functions have many common graphs - quadratic, cubic, etc. These can have more than one x-value for two or more of the same exact y's. For example, the graph x^2.
Hope this helps!
Darius B.
Hey Xavier, So I know that it is not exponential or logarithmic on a quick glance. How? Well, those functions are one-to-one - in our chart, -4 goes to two different x-values. There's actually a cheat sheet that I didn't mention. Think about what it means for a function to be continuous! Now one of those two - either polynomial or rational - is continuous EVERYWHERE! I think that will help you make the right choice.04/06/22
Xavier B.
I still dont get this one04/06/22