Drill Solve using any method 2)What is the Domain and Range of the function and the y-intercept.

Logarithmic Functions 4.2 Logarithmic Functions

Logarithmic Function A Logarithmic function is if and only if where a > 0, , and x > 0. The function given by is called the logarithmic function with base “a”.

Examples

Properties of Logarithms 1) 2) , b/c 3) , b/c 4) If , then x = y

Shifting a Function Reflection over x-axis Reflection over y-axis

The Natrual Base “e” “e” is the irrational number known as the natrual base. “e” is a constant number approximately equal to 2.71828… The natural exponential function is:

Compound Interest Principal “P” Annual Interest Rate “r” # of compounds/year “n” # of years “t”

Continuous Compounding Continuous Compounding will result in a higher profit.

Classwork Pages 325 – 327 #’s 2, 4, 15 – 18 (b&c only) #’s 23 – 30 (matching) #’s 52 – 55, 57 – 59