BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 14E
To determine

Draw a machine diagram of this function f(x)=3x2 use the estimate values of the variable x

Expert Solution

Answer to Problem 14E

Machine diagram of f :  x    square root of x subtract from 1      x12    square root of x subtract from 1      15    square root of x subtract from 1      2

Explanation of Solution

Given information: consider the function f(x)=3x2

Calculation:

Machine diagram of f:

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 2.1, Problem 14E

If x is in the domain of the function f , then when x enters the machine, it is accepted as an input and the machine produces an output f(x) according to the rule of the function. Thus, it can think of the domain as the set of all possible inputs and the range as the set of all possible outputs. Take the values of the function f(x)=3x2 for the estimate values of the variable x

Plug the value x=3, in the function f(x)=3x2 then the value of f(3).

  f(3)=332f(3)=3

Plug the value x=4, in the function f(x)=3x2 then the value of f(4).

  f(4)=342f(4)=32

Machine diagram of f as shown below:

     x    f      f(x)input                     out put

   x    3 divide by and subtract 2 from x     3x2 3    3 divide by and subtract 2 from x     3 4    3 divide by and subtract 2 from x     32

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