How are rational exponents and radicals related? what procedures are followed to rewrite expressions involving radicals and rational exponents? what are the key features of the graphs exponential functions? explain how you find each key feature and what happens to the graphs if you were to add or subtract a constant term. how can you distinguish between linear and exponential functions? how do increasing linear functions and exponential growth functions compare? explain the differences between adding and multiplying radical expressions. consider the following non-perfect square number (instructor provides a large number, ex: 1260). explain whether you would choose the greatest perfect square method or the prime factor method, and then find the simplified square root of that number. (listen to student response) how did you decide to choose that method? would the other method work? why or why not? george plays basketball in a week-long camp. on day 2, he scored 8 points. on day 4, he scored 12 points. explain how to measure his average rate of change. (instructors can change the scenario to personalize for the students.) give an example of a geometric and an arithmetic sequence. what are the differences between each? how are the parameters of functions derived from their context?