1. Graphs of Exponential and Logarithmic Functions

2. Graph of Exponential Function f ( x ) = bx
Domain: ( −∞, ∞ ) or x ∊ ℝ
Range: ( 0, ∞ ) or y > 0
Intercept: ( 0, 1 )
y -intercept
Asymptote: y = 0
Horizontal

3. Graph of Exponential Function f ( x ) = 2x
Domain: ( −∞, ∞ ) or x ∊ ℝ
Range: ( 0, ∞ ) or y > 0
Intercept: ( 0, 1 )
Asymptote: y = 0
Now, graph: g ( x ) = 2(x – 3) + 4
Domain: ( −∞, ∞ ) or x ∊ ℝ
No change
Range: ( 4, ∞ ) or y > 4
Up by 4
Intercept: ( 0, )
Let x = 0
Asymptote: y = 4
Up by 4

4. Graph of Logarithmic Function f ( x ) = logbx
Domain: ( 0, ∞ ) or x > 0
Range: ( – ∞, ∞ ) or y ∊ ℝ
Intercept: ( 1, 0 )
x -intercept
Asymptote: x = 0
Vertical