Problem 11P

Consider the functions Ψ1(x) = sin(x) and Ψ2 (x) = sin(2x), where x can range from 0 to π. Write down formulas for three different nontrivial linear combinations of Ψ1 and Ψ2, and sketch each of your three functions. For simplicity, keep your functions real-valued.

Every behavior has a function; if we can understand the function, we have a better chance of getting rid of the behavior Functions of Problem Behaviors Social Positive Reinforcement: o reinforcement of the behavior is mediated by someone else- getting a good thing from someone else; o attention from class mates or teacher (it isn’t cancelled out by negative when positive is presented), praise, reaction, access to activities; Social Negative Reinforcement o Behavior of someone else is part of removing an aversive stimulus; o Teacher putting a kid in time out for acting out when he/she didn’t want to do school work; obviously that’s what the kid