Explain the terms domain and range of a function.
The domain of a function f(x) includes all the possible values of x that satisfy the equation f(x). The range of a function f(x) includes all the possible values of y/f(x) that satisfy the equation f(x).
Explain recursion in simple terms understandable to AP Computer Science students.
A recursive function is a function that solves an operation in terms of itself. Recursive programming in java, specifically, includes writing methods that call themselves to solve problems that may only be solved efficiently with recursion. In recursion, there is always a base case and a recursive case. The base case always returns an answer directly. The recursive case is the more important part of the function, where the method calls itself in terms of a smaller occurrence of the same method. At a certain point, the number that is called will hit the base case and the recursion will finish.
What is the best way to approach the Science section on the ACT test?
Because the science section of the test is one of the more time-constraintive sections, the main strategy in approaching this section has to do with time management. A large portion of the questions is closed-ended, meaning that a simple look and a correct interpretation of the question and data that is referenced can lead you to get the majority of questions right on the exam. However, there are also some questions that require correct inferences of data and graphs, and practicing these types of questions are the only way to increase the probability that you will get them correct. Finally, there are often questions that I personally approach almost as if they are readings. These are the parts of the section where three different scientists argue different things about the same topic. Again, the only way to get better at these types of questions is with practice. One thing for certain, if a set of questions have just graphs and data at the beginning, never spend time looking over those, go straight to the questions and then reference the graphs if needed. You will save a lot of time!