Find f(a), f(a + h),
and the difference quotient
f(a + h) − f(a)
------------------
h
,
where h ≠ 0.
f(x) = 17
f(a)=
f(a + h) =
f(a + h) − f(a)
----------------- =
h
To find f(a), we substitute a into the function f(x)=17:
f(a) = 17
To find f(a + h), we substitute a + h into the function:
f(a + h) = 17
Now, let's calculate the difference quotient:
f(a + h) − f(a)
-----------------
h
Since f(a) and f(a + h) are both equal to 17, we have:
17 − 17
---------
h
Simplifying further, we get:
0
--
h
Therefore, the difference quotient is 0 divided by h, which is equal to 0.