Unit 3: Exponential & Log Functions

Unit 3


Exponential Functions

Properties of Exponentials & Logarithms 

Solving Exponential and Logarithmic Equations

How are exponential functions similar to and different from polynomial functions?

How are the parent graphs of exponential and logarithmic functions related?

How do you use transformations to sketch graphs of exponential and logarithmic functions?

How are exponential and logistic functions used to model real world problems?

How do you evaluate logarithmic functions without a calculator?

How are properties of logarithms useful when evaluating expressions?

How do you use properties of logs to rewrite expressions in equivalent forms?

How do you solve exponential equations?

How do you solve logarithmic equations?

Vocabulary:
transcendental, exponential function, e, natural base, logarithmic function, common log, natural log, growth, decay, compound interest, continuous compounding, depreciation, logistic

Vocabulary:
inverse property, one-to-one property, change of base formula, product property, quotient property, power property

Vocabulary:
exponentiate