Exponentials & Logarithms
Transformations of Functions
Trig (Geometry Review)
Trig (Unit Circle)
100
What is an exponential function?
A function / pattern that multiplies / divides repeatedly (Geometric sequence)
100
Describe the transformations of y=4log_2(x+6)-8
- Vertical stretch by a factor of 4
- Left by 6
- Down by 8
100
What does SOH-CAH-TOA represent?
Sine = Opp / Hyp
Cosine = Adj / Hyp
Tangent = Opp / Adj
100
What is the radius length of the unit circle?
1 unit.
200
An investing account grows with compound interest and is modeled by the equation
P(t)=5000(1.05)^t
At what rate is the accounting growing or decaying?
5%
200
The graph of y=h(x) is translated down 3 units, right by 5 units, and reflected over the x-axis. Write the appropriate equation.
y=-h(x-5)-3
200
Find x. 
x=22.7
200
What are sin(30), cos(45), and sin(60)?
sin(30)=1/2 cos(45)=sqrt2/2
sin(60)=sqrt3/2
300
The amount of medication in the bloodstream is modeled by: M(t)=160(0.25)^(t/6) where M(t) is the amount of medication, in milligrams, after t hours. How much medication remains after 9 hours? How long will it take until only 4 mg remain? Round to the nearest hundredth if needed.
1. 20 mg
2. t=15.97 hours
300
This is the graph of function f(x)=log_2(x): 
Sketch the graph of
300
Where is tan(theta)= undefined? Give answer in RADIANS.
pi/2 and (3pi)/2
300
On the unit circle, what do Sin and Cos represent?
The x & y - coordinates at various points of rotation around the circle.
400
The value of a collectible toy is increasing exponentially. The two points on the graph show the toy's initial value and its value 3 weeks afterward. Express the toy's value t, in dollars, as a function of time w, weeks after purchase.
t(w)=5(2)^(w/3)
t(w)=5((2)^(1/3))^w
t(w)=5(1.260)^w
400
The graph of y=log_3(x) is shown.
What would the graph of y=4log_3(x+1) look like? Sketch the graph.
400
In a right triangle, sin(theta)=13/17 Find tan(theta)
tan(theta)=13/(2sqrt30)
(13sqrt30)/60
tan(theta)=1.19
400
What is a Radian?
A unit of rotation that is equal to the length of a radius of a circle wrapped around the perimeter of said circle.
500
The temperature of a hot drink is modeled by: T(t)=22+78e^(-0.18t) where T(t) is the temperature in degrees Celsius after t minutes.
1. What is the temperature of the drink after 5 minutes?
2. After how many minutes will the drink cool to 30 degrees?
1. T(5)=53.7
2. t=12.7
500
f(x)=log_8(x+4)+3 and g is a horizontally scaled version of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
g(x)=log_8(4x+4)+3
500
Angle J is in standard position and it's terminal side is rotated through (-3,6). Find cos(J) and find
mangleJ
cos(J)=-sqrt5/5
cos(J)=-1/sqrt5
cos(J)=-0.447
mangleJ=116.6^o
500
An angle in standard position has a measure of
-(25pi)/6 Radians In which quadrants i the terminal side of the angle?
Q4