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指数函数建模

当输入越来越大时,我们能对指数函数的行为说些什么?

1. Introduction

Introduction

2. Long-term behavior of exponential functions

Long-term behavior of exponential functions

3. The role of

The role of

4. Vertical shift and asymptote

For g(t) = a b^t + c with b > 1, what role does c play?

5. Parameters of a shifted exponential

For s(t) = -17398(0.85234)^t + 19411, what are its behavior, intercept and range?

6. Initial value of a shifted exponential

For g(t) = a b^t + c, what is the value at t = 0?

7. Evaluating a shifted exponential

For p(t) = 4372(1.000235)^t + 92856, what is p(0)? Give the exact integer.

8. A shifted exponential's asymptote moves with the shift

Adding a constant c to an exponential a b^t moves its horizontal asymptote from 0 to c.

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