Given the following rational function: R(x)= x+5 x-9 State the Domain of R(x) in interval notation Given the following radical function: = P(t) 49-3t+5 State the Domain of P(t) in interval notation in the space below. Your answer should be submitted with no spaces between any characters. Use the expression "inf" to mean infinity. For example, if you were wanting to represent the set of all real numbers you would submit your answer as: (-inf,+inf). You must indicate -inf versus +inf to be graded correctly for this question. A/ For the following radical function, find the coordinates of the P and t intercept. P(t) 29-8t 10 Your answer should be submitted with no spaces between any characters. For example, if one of the intercepts was the origin, you would submit your answer as: (0,0) P-int = t-int = a Sketch the following square root function using DESMOS: f(x) = 22x-4-3 Analyze the graph by answering the following questions. Correct interval notation is expected for domain and range. For infinity, show +inf or -inf, as appropriate. There should be no spaces in your answers. State the interval representing the domain, X A/ State the interval representing the range, V A Is this function increasing or decreasing on its domain? Enter either the word increasing or the word decreasing: A/ The function from the previous question is stated again below. P(t)=22t+4-5 Determine algebraically when the shop is making a clear profit of $3000 monthly. Enter this answer as an integer in the space below: t = months. A The function from the previous question is stated again below. P(t)=22t+4-5 Determine the average rate of change of this function on the interval from t = 0 to t = 2.5 months. This is the rate at which the profit is increasing over the first 2.5 months. Enter this answer as decimal to the nearest tenth. At $1000 per month