Functions
Quadratic, Polynomial & Rational Functions
Exponential & Logarithmic Functions
Periodic Functions, Identities & Equations
Triangles & Vectors
100
The definition of a function.
What is each input can only have one output?
100
Two things that affect the end behavior of a polynomial.
What is "a" value and degree?
100
The initial value (y-intercept) of the function:
f(x)=20(1.08)^x
What is
20
100
The exact value of
sin((5pi)/3)
What is
-sqrt(3)/2
100
The height of a tower if the angle of elevation from a point on the ground 50 feet away is 42 degrees.
What is 45 feet tall
200
Domain and range of
f(x) = sqrt(2x+1)-3
What is Domain =
D=[-1/2, infty),
R=[-3, infty)?
200
The formula and vertex for a quadratic function with the following properties - zeros at (-1, 0) and (5, 0) and passing through the point (4, 10).
What is
f(x)=-2(x+1)(x-5)
or f(x)=-2x^2+8x+10
or f(x)=-2(x-2)^2+18
vertex (2, 18)
200
Solve for x:
12+3log(3x+1)=18
What is
x=33
200
Exact value of
cos((3pi)/2)
What is:
0
200
Side b if
A=14^o, B=35^o, a=10 cm
What is 23.7 cm
300
Using the graph shown, the average rate of
change of f(x) for the interval
2lexle4
What is
(9.6-2.4)/(4-2)=3.6
300
Exact solutions to:
x^3-7x^2+13x-7=0
What is
x=1, 3+sqrt2, 3-sqrt2
300
Solve for x:
5e^(2x+2)=35
What is
x=(ln(7)-2)/2=-0.027045
300
A sine and cosine formula for:
What is:
2cos(x-(3pi)/4)+1
2sin(x-(pi)/4)+1
300
Area of a triangle with side lengths of
3 ft, 7 ft, and 8 ft.
What is 10.4 sq ft
400
f(x) and g(x) for the composite function
f(g(x))=3sqrt(2x^2 -5)
What is
f(x)=3sqrt(x) and g(x)=2x^2-5
400
A possible formula for a fourth degree polynomial with a double zero at
x=2, f(-3)=0, f(5)=0, f(0)=10
What is
f(x)=-1/6(x-2)^2 (x+3)(x-5)
400
The half-life of a substance if 50 mg decays to 37 mg after 3 hours.
What is 6.9 hours?
400
Two possible values for
csc theta
given that
cos theta =5/13
What is
13/12 and -13/12
400
Angle C given that
a=12, b=10 and c=20
What is
130.54^o
500
The formula for the piecewise function shown below:
What is 
500
The formula for:
What is
f(x)=1/40(x+5)(x+2)^2 (x-2)(x-3)
500
The doubling time of a substance that grows at a continuous rate of 2.2% every minute.
What is 31.507 minutes?
500
sin 2theta
given that
theta
is in quadrant 2 and
cos theta =-3/5
What is
-24/25
500
The distance between two planes that leave from an airport together traveling on courses that have an angle of 100 degrees between them if each travels one hour at 350 mph.
What is 536 miles apart
600
The point that lies on
3f(2x+1)+5
if the point (5, 7) lies on the graph of
f(x)
What is (2, 26)?
600
The formula for:
What is 
600
The formula for the graph shown:
What is
f(x)=24(1/4)^(x/3)
600
theta
given that
1 + 2 cos 2theta =0
What is
theta=60^o, 120^o, 240^o, 300^o
600
The angle between 2 vectors
vecu=<-5,2> and vecv=<7,-10>
What is 146.8 degrees