||Time: 2 hours
- Given the equation, find the following:
- Horizontal Shift (phase shift),
- Vertical Shift,
- and four points that have a y-coordinate of 0.
- Given that the point
is located on the
terminal side of the angle t, find a point on the terminal side of
the following angles:
- Write as an algebraic expression in x.
- Convert to radian measure.
- Convert 128.3842 radians to degree measure in the format.
- The graph of is bounded by what two functions?
- Why are these two lines considered boundary functions?
- Graph the function and the two boundary functions.
- A man, standing on the top of a building that is 1,000 feet
high, looks down with an angle of depression of 12 degrees, to the base
of the building across the street. How far apart are the
- Restrict the domain of the function to an
interval where the function is increasing, and,
- Determine over that interval.
- Then sketch the graphs of both f and on the same
- What relationship do the graphs of these two functions have to
the graph of the function g(x)=x?
- A total of $10,000 is invested for 10 years at 12% per year
compounded continuously. How much interest will be earned during
the 10 years?
- Solve for x in the inequality
- When does .
- When does .
- Assume that the population of a town in Texas is given by
, where t time is given in years and
t=0 corresponds to the year 1900.
- In what year was the population 60,000?
- Did the population ever reach 1,000,000?
- How long will it take for the population to reach 10,000?
- Find all the zeros of .
- graphically - explain how you interpreted the graph to arrive at
- Solve the following system of equations for , and z:
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Tue Jun 24 22:20:38 MDT 1997
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