Question

Evaluate the difference quotient for this function (f(x+h)-f(x)/h)
f(x)=7x-13

Answer 1

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.