9.
10.
Answers
Functionhas an inverse.
Functiondoesnot havean inverse.
Functiondoesnot havean inverse.
on
whichis negativeon the intervalin question,so is monotonicallydecreasing.
Exponentialand LogarithmicFunctions
LearningObjectives
A studentwill be able to:
- Understandand use the basicdefinitionsof exponentialand logarithmicfunctionsand how they are related
algebraically. - Distinguishbetweenan exponentialand logarithmicfunctionsgraphically.
A QuickAlgebraicReviewof Exponentialand LogarithmicFunctions
ExponentialFunctions
Recallfrom algebrathat an exponentialfunctionis a functionthat has a constantbaseand a variableexpo-
nent.A functionof the form where is a constantand and is calledan exponential
functionwith base Someexamplesare and All exponential
functionsare continuousand their graphis one of the two basicshapes,dependingon whether