| Question 1. How
long will it take a population growing at a rate of 15% per year and
5,000 in 1980 to reach a size of 100,000? Give your answer to 1 decimal
place.
Ans.: 21.4 years
|
Question 1. Find
the value of x at which these two functions are equal:  Give
your answer to 1 decimal place.
Ans.: x = 20.4 |
| Question 2. (a) What is the
balance in an account after 25 years if its initial balance was $525
and its was compounded daily at an annual interest rate of 8.12%?
(b) What was the effective annual rate in percent?
|
Question 2. (a) What is the
balance in an account after 100 years if its initial balance was $5 and
its was compounded monthly at an annual interest rate of 4.15%?
(b) What was the effective annual rate in percent?
|
Question 3. What is the
domain and range of the function  ?
|
Question 3. Find the exact
solution for the equation  .
|
Question 4. (a) Sketch the
transformation  and (b) give the new coordinates for points
A and B.
|
Question 4. (a) Sketch the
transformation  and (b) give the new coordinates for point A.
|
| Transformation Sketch
for Question 4a. Move left by 5, Flip across
x-axis and then compress vertically by factor of 5.
|
Transformation Sketch
for Question 4b.
Flip across y-axis and then move down by 10.
|
Question 5. Is
the following function odd, even or neither, justify your answer at
least 2 ways: 
Neither (odd powers, so not even, and not odd
|
Question 5. Is
the following function odd, even or neither, justify your answer at
least 2 ways: 
Note even (powers are odd) Not odd since Neither (not odd since does not pass thru origin, so not symmetrical about it). |
Question 6. Find the exact
value for the coordinates of the vertex for the quadratic function 
The x-coordinate of th evertex is midpoint between x = 2 and x = 5, so h = -1.5 and k = f(h) = -29.4 Exactly
|
Question 6. Find the exact
value for the roots of the following quadratic function  . Divide by
1.2
Ans.: x = -1.5 and x = 1
|
| Question 7. Find a possible
formula for the quadratic function shown below: Write your answer in
standard form:
Ans.:
|
Question 7. Find a possible
formula for the quadratic function shown below. Write your answer in
standard form:
Ans.:
|
| Question 8.
Write a possible formula for the periodic function shown below:
\ |
Question 8.
Write a possible formula for the periodic function shown below:
|
Question 9. What is the
coordinates of the point on a circle of radius 15 cm marked by an angle
of  radians?
|
Question 9. What is the
coordinates of the point on a circle of radius 12 in marked by an angle
of 
radians? 
|
| Question 10. Find the arc
length of a circle of radius of ½ foot suspended by an angle of
30 degrees. (give answer to 4 decimal places)
|
Question 10. Find the
radius of a circle with arc length of 240 cm suspended by an angle of
45 degrees.
|
)
or (-1.5, -29.4)
period 
period 
