1. Lesson 12-2 Exponential & Logarithmic Functions
Objectives
Students will:
Graph exponential functions
Graph logarithmic functions

2. Exponential Functions f(x) = ax (variable as exponent)
a: positive, real #; a ≠ 1; the base
Graphs:
f(x) > 0 (y-values)
Must pass through (0, 1)
Curve:
a < 1 → decreasing
a > 1 → increasing
Use table to get more points
(0, 1)

3. Example 1
y = 10x
y = 3x

4. Logarithmic Functions Function (calculator is base 10)
General function:
Exponential or
Passes through (1, 0)
Graph is inverse (reflection) of an exponential
(1, 0)

5. Graphing Logs:
Graph (1, 0)
Write as exponential
Write inverse function (switch x & y)
Make table of inverse
Switch x & y values to get Log’s values

6. Example 2: Graph
y = log2x
y = log6x
HW 115 & 116