Final answer:
The difference quotient for the function f(x) = 7x - 13 is 7.
Step-by-step explanation:
To evaluate the difference quotient for the given function f(x) = 7x - 13, we need to find the expression (f(x + h) - f(x)) / h.
Step 1: Replace x with (x + h) in the function f(x).
f(x + h) = 7(x + h) - 13 = 7x + 7h - 13.
Step 2: Subtract the function f(x) = 7x - 13 from f(x + h).
f(x + h) - f(x) = (7x + 7h - 13) - (7x - 13) = 7h.
Step 3: Divide the result by h.
(f(x + h) - f(x)) / h = 7h / h = 7.
Therefore, the difference quotient for the given function is 7.