Simplify the difference quotients and for the following function. Rationalize the numerator when necessary.
-f(x) = 7x + 1
A) 7h; 7a
B) 7; 7
C)7x - 7h; 7x - 7a
D) 7; 7x - 7a

Question

Simplify the difference quotients  and  for the following function. Rationalize the numerator when necessary.
-f(x) = 7x + 1
A) 7h; 7a 
B) 7; 7 
C)7x - 7h; 7x - 7a 
D) 7; 7x - 7a

Quizplus · Accepted Answer

The derivative of f(x) = 7x + 1 with respect to x is 7, indicating the rate of change of the function is constant at 7. This applies regardless of the variable (h or a) used to represent a change in x, hence the correct answer is 7 for both parts.

Simplify the Difference Quotients and for the Following