Graph for in a [-5,5] by [-2,5] window:xya=2, 3, 5a=Where is ?235xxx<<(290,x=∞Where is ?235xxx(29,0x= -∞Where is ?235xxx==0x=→
Graph for in a [-5,5] by [-2,5] window:xya=2, 3, 5a=Where is ?235xxx<<(290,x=∞Where is ?235xxx(29,0x= -∞Where is ?235xxx==0x=What is the domain?(29,-∞ ∞What is the range?(290,∞→
Population growthcan often be modeled with an exponential function:Ratio:502349361.01764511150231.0175÷≈1.01761.02461.0175World Population:1986 4936 million1987 50231988 51111989 52011990 53291991 5422The world population in any year is about 1.018 times the previous year.in 2010:(291954221.018P=⋅7609.7≈About 7.6 billion people.→Nineteen years past 1991.
Radioactive decaycan also be modeled with an exponential function:Suppose you start with 5 grams of a radioactive substance that has a half-life of 20 days. When will there be only one gram left?After 20 days:15522⋅=40 days:251542⋅=tdays:20152ty=⋅In Pre-Calc you solved this using logs. Today we are going to solve it graphically for practice.→
Y=(2911yx=(2925(1/ 2) ^ (/ 20)yxx=WINDOWGRAPH→
WINDOWGRAPHUpper bound and lower bound arex-values.F5Math5IntersectionUse the arrow keys to select a first curve, second curve, lower bound and upper bound, and press ENTER each time.