Part 1 - Exploration Let f(x) = 30 1 + 2 3x

a. Use tables and graphs to find and x lim f(x) x lim f(x)

b. Identify any horizontal asymptotes c. What is the y-intercept? d. How is the numerator of the fraction for f related to part b? e. Sketch the graph.

Part 2 - Find the error(s) and solve the problem correctly. Find the derivative, if it exists, of the function at the specified point. f(x) = x at 2 4x + 3 x = 1

Answer: f(1) = 1 = 0 2 4(1) + 3

Part 3 - Discussion Question Explain how the derivative of a function can be viewed geometrically.

Part 4 - Reflection This question required: 1. Think back over this entire semester. What concept do you still need clarification on? Have you reached out to your teacher about this module? What are 3 ways that you can be successful on your exam? What assignments do you need to review and study before you take the exam? Choose 2 of the following questions: 2. Over the course of this module, what concept did you find the most challenging? What did you do to clarify the concepts in this module to further your learning?How did I move through roadblocks or challenges? 3. Briefly explain a concept in this module and give at least one real world example that demonstrates the concept that you have selected. Share an example not given in the course content or in the application question above. 4. What new information have you learned from this module? What surprised you about what you 5. Describe the notebook that you used in this course. Did you stay organized the entire year? What changes would you make as you prepare for your next math course? What advice would you give students that are starting their first day of PreCalculus? Your response must be at least three paragraphs (1 per question you choose).