Please help me answer these with shown work and explanation please!!

Precalculus 1: Functions 10 Week 1 Workbook Graded Problems Your work on the graded problems should demonstrate your best work. Write up thorough solutions that a reader could follow from start to finish. The original problem, your assumptions and reasoning, your mathematical work, and your answer should all be shown and/or explained clearly. See "Graded Problem Guidelines" in the syllabus for more information on expectations and the grading rubric. 1. Consider the function R(p) = 2P -8 p + 5 . Show all work to evaluate the following: b. R (-2) b. R(5d) c. R ( # ) d. R(h - 5) 2. Consider the functions h(x) = - and p(x) =x2 -4. Find functions and state their domain. a. (h . p) (x) b. (2) (x ) c. p(h(x)) d. h( p(x)) 3. The table below shows the number of cricket chirps in 15 seconds and the air temperature, in degrees Fahrenheit. Chirps 44 35 20 33 37 Temp 74.6 67.4 55.4 65.8 69 a. Does the data appear to linearly related? How can you tell? b. Write a function that models this data. Remember to include all of the components in the "anatomy of a function" - clearly define variables, write the function formula, and state a reasonable domain and range. c. Describe the meaning of your constant rate of change in a sentence. d. Using your model to predict the temperature when crickets are chirping 25 times in 15 seconds. e. Using your model to predict the number of chirps crickets will make at 40 degrees. 4. Write a formula for the function shown in the graph: 1 = 8 (x) 3