Unit Circle & Trig Reasoning
Functions
Trig Graphs & Other Fun Surprises
Simplifying Radical Expressions
Miscellaneous
100
Evaluate the following:
a. sin((2pi)/3)
b. tan((-5pi)/4)
What is
sqrt3/2
and -1?
100
Determine the interval on which f(x) is decreasing.
What is
4<x<12 ?
100
+ cos equation for this graph:
What is =3cos(4x)+1 ?
100
Simplify:
sqrt18
What is 3sqrt2 ?
100
Factor completely:
2x^2+3x-9
What is (2x-3)(x+5) ?
200
Convert (-4pi)/9 to degrees.
What is
-80^o ?
200
The points that fall on intervals where function f(x) is concave down.
What are points b, d and e?
200
Graph 2 cycles of the following function:
g(x)=-2sin(pi(x-3))-2
What is .... 
200
Simplify:
sqrt(36x^2y^3)
What is 6xysqrty ?
200
The name for the green points on the graph below:
What are points of inflection?
300
Find the angle, theta , in radians that is coterminal to (11pi)/2 if 0<theta<2pi.
What is (3pi)/2 ?
300
On the graph of h(x) below, what is/are the x-value(s) of all local minimums? 
What are x= -5 and x=3 ?
300
A record is spinning at a rate of 20 rpm. A ladybug is sitting 10 cm from the center of the record.
Find the angular velocity of the ladybug? (in radians/seс)
What is (2pi)/3 radians/sec?
300
Simplify:
2sqrt6+3sqrt54
What is 11sqrt6 ?
300
List the transformations (in words) of f(x) in the order you would do them.
y=f(1/2(x-3))+5
What is:
- translated right 3
- stretched horizontally by a factor of 2
- translated up 5 ?
400
Find sin(theta) if cos(theta)=-1/2 and pi<theta<(3pi)/2 .
What is -sqrt3/2 ?
400
Determine if the function is odd, even or neither:
f(x)=1/(x^3-5)
What is neither?
400
Simplify (answer should have only positive exponents):
((-2x^-2y^3)/(4x^2y^5))^-2
What is 4x^8y^4 ?
400
Simplify:
3sqrt(16x^4y^8z^3
What is 12x^2y^4zsqrtz ?
400
Factor completely:
4x^3+10x^2+4x
What is 2x(2x+1)(x+2) ?
500
Find tan(theta) if cos(theta)=2/5 and (3pi)/2<theta<2pi .
What is (-sqrt21)/2 ?
500
Suppose g(x)=f(3(x-2))+4. The coordinates where the point (7, -4) would move on the graph of g(x).
What is (3,0) ?
500
+ sine equation for this graph:
What is
y=4sin(pix)+1/2x+2 ?
500
Simplify:
2sqrt(6x^2y^3) * 4sqrt(2x^3y)
What is 16x^2y^2sqrt(3x) ?
500
Sketch a function that meets these criteria:
Increasing on the interval -5 < x < 0
Concave down on the interval -5 < x < -3
Concave up on the interval -3 < x < 0
f(-3) = 2
Constant on the interval 0<x<2
Continuous on the interval -5 < x < 5 except x = 2
What is (something like this)?