Please answer Part A and B in a detail format and make sure you complete everything. Thank you!

Unit 3 Mini-Project: Logarithmic Functions Menu Task To earn full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement, Use correct notation. No marks are given if your solution includes: e or In, differentiation, integration PART A: THE FUNCTIONS | /5 Thinking]| Build as few logarithmic functions as possible to satisfy each constraint at least once. Is always increasing Has an x-intercept at -1 E MNever enters quadrant 11 - Only in quadrants 11 and 111 Vertical asymptote at x =0 Always decreasing Vertical asymptote at x = -3 . | Has a negative y-intercept List all of your functions below and number them. Be sure to state which constraints they meet, and justify your choice. Justification (algebraic and/or in words) PART B: DISCUSSION | /5 Communication] Answer the following in complete sentences. Give full and complete explanations. Which constraints group nicely? Which constraints cannot be grouped? Is it possible to solve in exactly 2 logarithmic functions? 37 47