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.)
The graphs of all exponential functions have these characteristics. They all contain the point (0, 1), because a0 = 1. The x-axis is always an asymptote. They are decreasing if 0 < a < 1, and increasing if 1 < a.
