Please show all the work necessary to complete the work. all the steps necessary to answer the questions. I don't know where I'm committing mistakes and I will like to verify my work thank you so much.

1. (8 pts. each) Use calculus to find the intervals on which the function increases and the intervals on which it decreases. Then use the first- derivative test to determine the location of each local extremum (state whether it is a maximum or minimum) and the exact value of the function at this extremum. . Label your answers clearly. (a) f(x) = 5-x (b) g (x) = -2+xe-03x x- -16 2. (8 pts.) A group of researchers found that people preferred training videos of medium length; shorter videos contain too little information, while longer videos are tedious. For a training video on disposal of used restaurant grease, the research showed that the ratings people gave for the video could be approximated by 80t R (1 ) = + 200