Evaluate the difference quotient for the function.
F (x) = 2x - 7

A)-7
B) $\frac { 7 } { 2 }$
C)7
D)2x + 7
E)2

Name: Evaluate the difference quotient for the function. F (x) = 2x - 7 A)-7 B) $\frac { 7 } { 2 }$ C)7 D)2x + 7 E)2
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Question

Evaluate the difference quotient for the function.  
F (x) = 2x - 7
 
A)-7
B) $\frac { 7 } { 2 }$
C)7
D)2x + 7
E)2

Quizplus · Accepted Answer

The difference quotient for a function $f(x)$ is given by the formula $\frac{f(x+h)-f(x)}{h}$. For $f(x) = 2x - 7$, we have $f(x+h) = 2(x+h) - 7 = 2x + 2h - 7$. Substituting into the difference quotient formula gives $\frac{(2x + 2h - 7) - (2x - 7)}{h} = \frac{2h}{h} = 2$.

Evaluate the Difference Quotient for the Function 72\frac { 7 } { 2 }27​

Evaluate the Difference Quotient for the Function $\frac { 7 } { 2 }$