# To evaluate f ( x ) = 5 at a number, substitute the number for x in the definition of f ( x ) The given function of the values f ( a ) = 5 , f ( a + h ) = 5 , f ( a + h ) − f ( a ) h = 0 Given information: consider the function f ( x ) = 5 Calculation: Start by assume x is the variable of a function f ( x ) . Evaluate the values of the function f ( x ) = 5 for the given values of the variable x Plug the value x = a , in the function f ( x ) = 5 thenthe value of f ( a ) . f ( a ) = 5 Plug the value x = a + h , in the function f ( x ) = 5 then the value of f ( a + h ) . f ( a + h ) = 5 Then, f ( a + h ) − f ( a ) h = 5 − 5 h Since f ( a + h ) = 5 , f ( a ) = 5 = 0 Thus, f ( a ) = 5 , f ( a + h ) = 5 , f ( a + h ) − f ( a ) h = 0

### 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 37E
Solution

## To evaluate f(x)=5 at a number, substitute the number for x in the definition of f(x)The given function of the values f(a)=5,f(a+h)=5,f(a+h)−f(a)h=0Given information:consider the function f(x)=5Calculation:Start by assume x is the variable of a function f(x) .Evaluate the values of the function f(x)=5 for the given values of the variable xPlug the value x=a, in the function f(x)=5 thenthe value of f(a).  f(a)=5Plug the value x=a+h, in the function f(x)=5 then the value of f(a+h).  f(a+h)=5Then,  f(a+h)−f(a)h=5−5h        Since f(a+h)=5,f(a)=5=0Thus, f(a)=5,f(a+h)=5,f(a+h)−f(a)h=0

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