To evaluate f ( x ) = x 2 + 2 x at a number, we substitute the number for x in the definition of f ( x ) .

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.1, Problem 20E
To determine

To evaluate f(x)=x2+2x at a number, we substitute the number for x in the definition of f(x) .

Expert Solution

The values of the given functionare :

f(0)=0,f(3)=15,f(3)=3,f(a)=a2+2a,f(x)=x22x,f(1a)=1a2+2a

Explanation of Solution

Given information: consider the function f(x)=x2+2x

Calculation:

Evaluate the values of the function f(x)=x2+2x for the given values of the variable x

Plug the value x=0, in the function f(x)=x2+2x then we get the value of f(0).

f0=(0)2+2(0)f0=0+0f0=0

Plug the value x=3, in the function f(x)=x2+2x then we get the value of f(3).

f(3)=(3)2+2(3)f(3)=9+6f(3)=15

Plug the value x=3, in the function f(x)=x2+2x then we get the value of f(3).

f(3)=(3)2+2(3)f(3)=96f(3)=3

Plug the value x=a, in the function f(x)=x2+2x then we get the value of f(a).

f(a)=(a)2+2(a)f(a)=a2+2a

Plug the value x=x, in the function f(x)=x2+2x then we get the value of f(x).

f(x)=(x)2+2(x)f(x)=x22x

Plug the value x=1a, in the function f(x)=x2+2x then we get the value of f(1a).

f(1a)=(1a)2+2(1a)f(1a)=(1a)2+2(1a)f(1a)=1a2+2a

Thus, the values of the given function are:

f(0)=0,f(3)=15,f(3)=3,f(a)=a2+2a,f(x)=x22x,f(1a)=1a2+2a

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