Michigan Algebra I Sept. 2012

After successful completion of this unit, students will be able to understand the concept of exponential and power functions. They will be able to:

• Compare and contrast direct and inverse power functions.
• Compare and contrast end behavior and asymptotes of power functions and exponential functions.
• Compare and contrast maximum and minimum values of power functions.
• Find symmetry of power functions.
• Find inverses and limits to power functions.
• Calculate with rules of exponents.
• Write and evaluate exponential functions that include exponential growth or decay, half-life, and compound interest.
• Look at a situation and determine if it can be modeled by a polynomial function, an exponential function, a power function, or none of the above.