Find each function f, construct and simplify the difference quotient

Question

Find each function f, construct and simplify the difference quotient. show all work

 

f(x)=-1/2+7

Answer 1

Theresa, did you mean:

 

f(x) = -1/2 x + 7

 

(f(x+h) – f(x))/h is the Difference Quotient

 

f(x+h) = -1/2 (x+h) + 7

 

f(x+h) = -1/2 x – 1/2 h + 7

–f(x) = 1/2 x – 7

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f(x+h) – f(x) = – 1/2 h

 

(f(x+h) – f(x))/h = – 1/2

 

[This is used in Calculus to "find the derivative of f(x)"]