find the following:
- Amplitude
Answer: 3.
- Period
Answer:
.
- Horizontal Shift (phase shift)
Answer:
to the left.
- Vertical Shift
Answer: 8 up.
- Domain
Answer:
, the set of all real numbers.
- Range
Answer:
, or in interval notation: [5,11].
- and four points that have a y-coordinate of 11.
Answer: Here are four x-coordinates of such points:
Their y-coordinate is of course 11. There are other correct answers!
is located on the
terminal side of the angle t, find a point on the terminal side of
the following angles:
-
Answer:
.
-
Answer:
.
-
.Answer:
.
- -t
Answer:
.
as an algebraic expression in x.
Answer: 
.
- Convert
to radian measure.
Answer: 2.104 radians.
- Convert 120.3346 radians to degree measure in the
format.
Answer:
.
- The graph of
is bounded by what two lines?
Answer: It is bounded by the lines y=x+1 and y=x-1.
- Why are these two lines considered boundary lines?
Answer: Because the greatest value
can be is 1, and the
lowest value can be is -1. Thus the graph of the function 
is caught between the two boundary lines x-1 and x+1.
- Graph the function and the two boundary lines.
Answer:
Answer: 1,110.6 feet.
- Restrict the domain of the function
to an
interval where the function is increasing, and
Answer: The interval
is the biggest interval which will work.
- Determine
over that interval.
Answer:
- Then sketch the graphs of both f and
on the same
coordinate system.
Answer:
- What relationship do the graphs of these two functions have to
the graph of the function g(x)=x?
Answer: The graph of
is a reflection of the graph
of f(x) over the line g(x).
Answer: The total interest earned is 
Answer: The set of solutions consists of all numbers x satisfying 
or x>-1, or in interval notation: 
.
. Explain
how you checked your answer, step-by-step.
Answer: 
or 
- How long will it take the world population to double?
Answer: approx. 15 years and 5 months, or 15.4 years
- To triple?
Answer: approx. 24 years and 5 months, or 24.41 years
- How long will it take for the population to decrease to
one-half?
Answer: The population will never decrease as long as the same growth behavior continues.
given that 2i is a zero.
Answer: 
and 1
and z:
Answer: x=3, y=-2, z=1.