Dr. H studies the causes, consequences, and treatments of schizophrenia. In her current study, she is examining whether six people diagnosed with schizophrenia improve from baseline after receiving a new drug being tested to alleviate the symptoms the disease. She measures two different variables at pre- and post-during ingestion, one being levels of a neurotransmitter and the other being levels of positive symptoms of the disease. The results for each of the variables are displayed in the tables below.

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

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