NAMES:
MATH 142
September 15, 2015
QUIZ 1
• Show all your work and indicate your final answer clearly. You will be graded not merely
on the final answer, but also on the work leading up to it.
1. (3 points) Graph the piecewise function


x < −1
x
f (x) = 1
x = −1 .

2 − x −1 < x
Specify your origin and assume each grid line represents one unit. Label any intercepts.
2. (3 points) Find the equation of the line through the points (1, 2) and (−1, 1).
NAMES:
MATH 142
September 15, 2015
3. (3 points) Irwin Music sells its brand of acoustic guitars at $220 each. The company incurs
costs of $65 to manufacture each guitar. The associated weekly fixed costs for the company
are $17,000. Determine the linear equation relating weekly profit, P , to the number of
acoustic guitars produced, x.