Please Answer the following questions with a shown work

TERM TEST #1 - FUNCTIONS MAT A29 Calculus I for the Life Sciences - Dr Parker Glynn-Adey Learning Objectives: . Investigate quantitative relationships using graphs, their domains, and ranges. . Evaluate limits numerically, visually, and algebraically. . Apply the rules of differentiation to algebraic and transcendental functions. 1. Consider the function f(x) = 2245 (a) Find the domain of f (x). (b) Find the range of f (x). (c) Find all x and y intercepts of f (x), if they exist.2. Use the following grid to sketch :1 function with domain D = (2, 2) and range R = [3, 00) You do not need to give a formula for your function to answer this question. 3. Consider the function x) shown in the graph below. (a) For this part, no explanation is needed. Use the graph to calculate the limits: Jim HS) 15m 1' (1') wDU'F 5)!) (b) For this part, no explanation is needed. Use the graph to calculate the limits: 11'!!! at) lim t) 242+ 1:42 (e) Carefully answer, with explanation, the following question: For what. values T does the following limit not. exist? run m) :I:>T 4. Consider the following limit: , x2 zhgl2xz2x (3.) Explain why direct substitution of :1: = 2 gives an invalid answer. (b) Calculate the limit, carefully explaining each step of the calculation. \f(b) For each line in your sketch, label it with its slope