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Exponential Functions
x is an exponent
Note: as x increases (going L to R), y increases
They are said to be increasing functions
How about f(x) = ( )
we don't have fractional base
reflect over the y-axis
A fractional base results in a decreasing function
Characteristics of Exp. Functions
ie. y = b
Domain: (- , )
Range: y > 0
Asymptotes: y = 0 ie. H.A.
Increasing: b > 1
Decreasing: 0 < b < 1
Use y = 2 as base graph
Graph:
y = -3 · 2

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New day 8 examples

  • 1. Exponential Functions x is an exponent Note: as x increases (going L to R), y increases They are said to be increasing functions
  • 2. How about f(x) = ( ) we don't have fractional base reflect over the y-axis A fractional base results in a decreasing function
  • 3. Characteristics of Exp. Functions ie. y = b Domain: (- , ) Range: y > 0 Asymptotes: y = 0 ie. H.A. Increasing: b > 1 Decreasing: 0 < b < 1
  • 4. Use y = 2 as base graph Graph:
  • 5.
  • 6.
  • 7. y = -3 · 2