Lesson 1: 3.1 Exponential Functions and Their Graphs
Duration of Days: 3
Lesson Objective
1. Recognize and evaluate exponential functions with base a.
2. Graph exponential functions with base a.
3. Recognize, evaluate, and graph exponential functions with base e.
4. Use exponential functions to model and solve real-life problems.
How do you write and graph exponential functions?
algebraic functions
transcendental functions
exponential function
natural base
HSA-IF.C.7e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.
Use Khan Academy Resources
Students will analyze the graphs of exponential functions and model real life probles involving investment accounts and radioactive decay.
Exponential functions are useful in modeling data that represent quantities that increase or decrease quickly. Exponential functions can be used to model the depreciation of a new vehicle.
When drawing an exponential graph, students may incorrectly draw the graph so that it intersects the horizontal asymptote.
More advance learners could try to find the amount of money needed to invest in order to have a set value in the bank(compounding continuously) as you provide different time lengths and interest rates.
Common Assessments
Pre-Calculus with Limits Resources