MTH 119 — Spring — 2005
Essex County College — Division of Mathematics
Quiz # 101— April 14, 2005
Name:
Signature:
Show all work clearly and in order, and box your final answers. Justify your answers algebraically
whenever possible. You have 20 minutes to take this 10 point quiz. When you do use your
calculator, sketch all relevant graphs and write down all relevant mathematics.
1. For each function f, construct and simplify the difference quotient
f(x+h)−f(x)
h, h 6= 0.
(a) f(x) = 2x−1
Solution:
f(x+h)−f(x)
h=2 (x+h)−1−(2x−1)
h=2h
h= 2
(b) f(x) = 1
x
Solution:
f(x+h)−f(x)
h=
1
x+h−1
x
h=x−x−h
hx (x+h)=−1
x(x+h)
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