Question

For the function f (x) = 5 - 7x, find the difference quotient .

Answer 1

Consider the difference quotient formula.
f
(
x
+
h
)
−
f
(
x
)
h
Find the components of the definition.
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f
(
x
+
h
)
=
−
7
h
−
7
x
+
5
f
(
x
)
=
5
−
7
x
Plug in the components.
f
(
x
+
h
)
−
f
(
x
)
h
=
−
7
h
−
7
x
+
5
−
(
5
−
7
x
)
h
Simplify.