Math for Social Sciences Practice Quiz 1.

Math for Social Sciences. Practice Exam

For each of the linear equations below, find the following (if they exist):
- - slope:
  - graph:
  - y-intercept:
  - x-intercept:
- - slope:
  - graph:
  - y-intercept:
  - x-intercept:
Answer the following:
- Find the slope of the line perpendicular to .
- Find an equation for the line which passes through the point (3,-1) and which is perpendicular to the line . ( Hint: Use part(a)).
Sketch the graph of

showing the intercepts.
The cost of producing x units of a product is given by:

where C(x) is in dollars. The product sells for $150 per unit.
- Find the revenue function, R(x).
- Find the profit function, P(x).
- What is the maximum profit, and how many units must be produced in order to realize this profit?
- What is the average cost per unit to produce 10 units?
- What is the average cost per unit to produce 50 units?
Which of the following (if any) represent y as a function of x?
- .
- Explain your answers to 5a, and 5b. That is, if you believe that 5a is (or is not) a function, explain how you came to this conclusion. Do the same for 5b.
Evaluate the following for the function:
- Domain.
- f(0).
- f(m+3).
Let Note: (When multiplied out, )
- Does the graph open up or down?
- What feature of the function, did you use to answer part(a)?
- What are the coordinates of the vertex?
- Find the y-intercept.
- Find the x-intercept(s).
- Sketch the graph showing (a) - (e).

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Tue Aug 12 21:45:49 MDT 1997