Introduction
Did you ever wonder what those exponential equations looked like?
Of course you did! In this lesson, we will learn about graphing exponential functions and inverses.
Following successful completion of this lesson, students will be able to...
- Graph exponential functions and exponential functions with transformations.
- Interpret key features of a graph.
- Solve exponential equations by graphing.
Enduring Understandings
- There exist numerous nonlinear functions that model real world situations.
- Students develop skills to solve real world problems modeled by exponential and logarithmic functions.
- All exponential and logarithmic functions are transformations of a base function.
- Logarithms allow us to solve for exponential equations in which the variable is in the exponent.
- Logarithms have an inverse relationship with exponents.
The above objectives correspond with the Alabama Course of Study: Algebra II with Statistics standards: 27, 30, 30c, and 34.