1. Exponential Functions
Section 1.2

2. Concavity
A function is concave up if it bends upward as we move from left to right.
A function is concave down if it bends down as we move from left to right.
“Palm” method

3. P(t) = P0at P(t) is the amount at time t P0 is the amount when t = 0
a is the growth factor per time unit
a > 1 => exponential growth
a < 1 => exponential decay
(a - 1)=> percent of change

4. Terms
Half-life is the time it takes in exponential decay for the quantity to be reduced by a factor of one-half
Doubling time is the time it takes in exponential growth for the quantity to double is size

5. P(t) = P0ekt A special case of exponential equations.
Used for continuous growth or decay
k is the percent of change
K>0 continuous growth
K<0 continuous decay
Note ek = a

6. Assignment
Page odds plus
Hand in problems 14 and 30