Exponential Equations and Functions

Exponential Equations and Functions

1. equations that have the variable in the exponent

2. y = a * b^x

3. f(x) = a * b^x

4. a is the initial value (y-intercept)

5. b is the base

6. x or t is the time and the exponent

7. Increases or Decreases RAPIDLY

8. do NOT increase or decrease by the same amount

9. rates, percentages

10. half, third, etc...

11. double, triple, etc...

12. a = initial value

13. Exponential Growth

    • y = a*b^x
    • y = a(1+r)^x
    • b > 1

14. Exponential Decay

    • y = a * b^x
    • y = a(1-r)^x
    • 0 < b < 1