find the following:
- Amplitude,
- Period,
- Horizontal Shift (phase shift),
- Vertical Shift,
- Domain,
- Range,
- and four points that have a y-coordinate of 0.
is located on the
terminal side of the angle t, find a point on the terminal side of
the following angles:
-
-
-
- -t
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.
- 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
coordinate system. - What relationship do the graphs of these two functions have to the graph of the function g(x)=x?
- When does
. - When does
.
, 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?
.
- algebraically.
- graphically - explain how you interpreted the graph to arrive at your answer.
, and z:
