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 24E
To determine

To evaluate f(x)=x34x2 at a number, we substitute the number for x in the definition of f(x) .

Expert Solution

Answer to Problem 24E

The values of the given functionare: f(3)=3,f(3)=3,f(0)=6,f(12)=234,f(10)=94

Explanation of Solution

Given information: consider the function f(x)=x34x2

Calculation:

Evaluate the values of the function f(x)=x34x2 for the given values of the variable x

Plug the value x=0, in the function f(x)=x34x2 then we get the value of f(0).

  f(0)=(0)34(0)2f(0)=0

Plug the value x=1, in the function f(x)=x34x2 then we get the value of f(1).

  f(1)=(1)34(1)2f(1)=14f(1)=3

Plug the value x=1 in the function f(x)=x34x2 then we get the value of f(1).

  f(1)=(1)34(1)2f(1)=134(1)f(1)=14f(1)=5

Plug the value x=32, in the function f(x)=x34x2 then we get the value of f(32).

  f(32)=(32)34(32)2f(32)=(278)4(94)f(32)=2782368f(32)=278728f(32)=458

Plug the value x=x2, in the function f(x)=x34x2 then we get the value of f(x2).

  f(x2)=(x2)34(x2)2f(x2)=x384x24f(x2)=x38x2

Plug the value x=x2, in the function f(x)=x34x2 then we get the value of f(x2).

  f(x2)=(x2)34(x2)2f(x2)=x64x4

Thus, the values of the given function are:

  f(0)=0,f(1)=3,f(1)=5,f(32)=458,f(x2)=x38x2,f(x2)=x64x4

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