Chapter 2.4, Problem 42E

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Chapter
Section

### Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

# What happens to the function P ( t ) = N 1 + A b − t if A = 0 ? If A < 0 ?

To determine

What happens to the logistic function P(t)=N1+Abt, if A=0 and

A<0.

Explanation

Given Information:

The provided function is,

P(t)=N1+Abāt

The form of the logistic function is:

f(x)=N1+A(bāx)āāā

Where constants N,A

and b

are non-zero (A,bāāareĀ positiveĀ andĀ bā 1).

There are certain properties of the curve represented by the logistic curve, y=N1+A(bāx)

1.

The graph of the function formed is S-shaped which is formed by sandwiching between the horizontal lines y=0 and y=N.

2.

If b>1, graph rises, if b<1, the graph falls

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