Help, I have an assignment, I wrote the question but I am not sure if it's completely right. I need help solving it so I can make sure my work is right before submitting

1. Analyze and Interpret a Radical Profit Function The following square root function, P(t) = 8 - 2V2t + 4 , represents the projected monthly profit of a tailoring business, in thousands of dollars, as a function of t, the number of months from January, 2018 (t = 0 corresponds to January, 2018). a) Inspect the function. Is the profit increasing or decreasing? Justify your answer. b) Algebraically find the mathematical domain of the function and state your answer in interval notation. c) Algebraically determine the intercepts. Explain the meaning of each intercept in the problem context. Sketch the function using DESMOS. e) Find the average rate of change of this function on the interval t E [0, 2.5] and explain the meaning of this answer using the appropriate units. Identify the secant line between t = 0 and t= 2.5