Lesson Plan

Recognize an exponential function f(x) = a·bˣ from a table, a rule or a graph, and read a as the initial value and b as the factor that classifies it as growth, decay or constant

Write f(x) = a·bˣ from a table by testing for a constant ratio, and explain why f(0) = a from b⁰ = 1

Convert a percent rate to a factor and a factor back to a percent rate, in both the growth and decay directions

Describe an exponential graph's end behavior in both directions, evaluating at negative inputs, and name its horizontal asymptote

Choose between equivalent exponential forms based on the feature each displays

"Determine the most suitable form of the expression representing the output of the function to display key features for: • an exponential function." "Make connections between a table, an algebraic representation, or a graph of a: • quadratic or exponential function that does not involve a transformation, not in context." "Create and use quadratic or exponential functions to solve problems in a variety of contexts."