Rational & Exponential Functions

Rational & Exponential Functions

1. Rational Function- any function which can be defined by a rational number

2. Horizontal & Vertical Asymptotes of Rational Functions- (Horizontal) useful suggestions for a graph that often do get touched and often crossed (Veritcal) a line that corresponds to the zeroes and tells where a graph cannot go.

3. Expontential Function- a function whose value is a constant raised to the power of the argument

4. Horizontal Asymptotes of Expontential Functions- A line that lays horizontally and the graph may touch but never cross.

5. Y intercept of an expontenial function- y = 2^(x-1)

6. expontential growth value- the growth rate of the value of a mathematical function is proportional to the function's current value.

7. Exponential decay occurs in the same way when the growth rate is negative.

8. Exponential Growth Factor is the deciding factor on how much growth is done.

9. Exponential Decay Factor is the deciding factor on how much decaying is done.

10. Compound Interest Formula- A = P(1+r/n)^nt

11. Continuous Compound Formula- A = Pe rt

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