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 15E
To determine

Find all the table values of this function f(x)=2(x1)2 for the given values of the variable x .

Expert Solution

Answer to Problem 15E

The given function of the values f(1)=8,f(0)=2,f(1)=0,f(2)=2,f(3)=8

Explanation of Solution

Given information:consider thefunction f(x)=2(x1)2 .

Calculation:

Evaluate the values of the function f(x)=2(x1)2 for the given values of the variable x .

Plug the value x=1, in the function f(x)=2(x1)2 then we get the value of f(1).

  f(1)=2(11)2f(1)=2(2)2f(1)=2(4)f(1)=8 Substitute x=1

Add and square

Multiply 2 and 4

Plug the value x=0, in the function f(x)=2(x1)2 then we get the value of f(0).

   f( 0 )=2 ( 01 ) 2 f( 0 )=2 ( 1 ) 2 f( 0 )=2( 1 ) f( 0 )=2 Substitute x=0

Add and square

Multiply 2 and 1

Plug the value x=1, in the function f(x)=2(x1)2 then we get the value of f(1).

  f(1)=2(11)2f(1)=2(0)2f(1)=2(0)f(1)=0 Substitute x=1

Add and square

Multiply 2 and 0

Plug the value x=2, in the function f(x)=2(x1)2 then we get the value of f(2).

   f( 2 )=2 ( 21 ) 2 f( 2 )=2 ( 1 ) 2 f( 2 )=2( 1 ) f( 2 )=2 Substitute x=2

Add and square

Multiply 2 and 1

Plug the value x=3, in the function f(x)=2(x1)2 then we get the value of f(3).

  f(3)=2(31)2f(3)=2(2)2f(3)=2(4)f(3)=8 Substitute x=3

Add and square

Multiply 2 and 4

Thus, the required table:

  xf(x)1802102238

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