Name: Math 155 Lab Assignment 2 Complete the following problems showing your work and clearly communicating your answers. Submit this assignment via email by making a pdf, taking pictures, or providing a document link 1. Use the following table to answer the questions below: R 1 3 5 7 9 11 13 15 S 0 1 4 9 16 25 36 49 T -1 -2 -4 -8 -16 -32 -64 -128 (a) Is S a function of R? Clearly explain your answer using the definition of "function." (b) Let f(x) represent the function for R in terms of S then find f(1) (c) If T is a function of R, where R = years since 2010 and T = profits in $1000's, explain the meaning of T(5) (d) If T is a function of R, where R = years since 2010 and T = profits in $1000's, find the average rate of change of T between 2013 and 2017. Remember to include the proper units with your answer. (e) Recall that a linear function is a function that has a constant rate of change. Is T a linear function of R? Clearly explain your answer along with the math you used to support your explanation