   Chapter 2.4, Problem 1E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

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

In Exercises 1-6, find N, A, and b; give a technology formula for the given function; and use technology to sketch its graph for the given range of values of x. [HINT: See the Quick Examples on logistic functions.] f ( x ) = 7 1 + 6 ( 2 − x ) ;       [ 0 ,     10 ]

To determine

To calculate: The values of N,A and b for the function f(x)=71+6(2x) with the range [0,10] and write the technology formula for the function. Also, use technology to sketch its graph for the given range of values for x.

Explanation

Given Information:

The provided function is:

f(x)=71+6(2x);[0,10]

Formula used:

The form of the logistic function is,

f(x)=N1+A(bx)

Where constants N,A and b are non-zero (A,bare positive and b1).

Calculation:

Consider the function, f(x)=71+6(2x).

Compared the above equation with the general equation of logistic equation, f(x)=N1+A(bx). Thus, the values of N,A and b are 7,6,2 respectively.

Therefore, the values of N,A and b are 7,6 and 2 respectively

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