Equation Solving
Polynomial/Rational Functions
Trigonometry
Exponential/Log Functions
Best of the Rest
100
These are the solution(s) to the equation
5x^2-2x-24=4x^2+3x
x = 8 and x = -3
100
This is the horizontal asymptote of
y=(2x^3)/(x^4-5x^2+1)
y=0
100
This is the value of
sin((pi)/2)
1
100
$300 invested at an annual rate of 8.1%, compounded continuously, for 17 years.
$1,188.90
100
These are the points of intersection between
y=2x^2-x and y=5x-x^2
(0,0) and (2,6)
200
These are the zero(s) of the function
f(x)=(x^4-5x^2)/(x-2)
x=0, x=pmsqrt5
200
This is the end behavior of
f(x)=-4x^6+7x^4-30x^3
Both ends pointing DOWN
200
This is the value of
cot((5pi)/6)
-sqrt(3)
200
$4050 invested at an annual rate of 4.6%, compounded monthly, for 42 years.
$27,855.30
200
This is the domain of
y=(2x+1)/(x^2+6x-27)
(-infty,-9)cup(-9,3)cup(3,infty)
300
These are the solution(s) to the equation
5e^{4x+10}-1=9
x=(ln(2)-10)/4
300
These are the vertical asymptote(s) of
y=(2x+1)/(x^2-4)
x=-2; x=2
300
The angle of elevation from a point on the ground up to the top of a tower is 63 degrees. The tower is 300 feet tall. How far is the point on the ground from the base of the tower?
152.9 feet
300
This is the logarithm below written in logarithms of base 9.
log_7(13)
log_9(13)/log_9(7)
300
This is the domain and range of the function graphed below: 
D: (-infty,infty)
R: [-1,infty)
400
These are the solution(s) to the equation
6log_3(2x+1)-2=22
x = 40
400
This is the equation of the polynomial function with zeros x=5 and x=-3 and with f(1)=8
y=-1/2x^2+x+15/2
400
Simplify:
tan(x)cot(x)-sin(x)cos(x)tan(x)
cos^2(x)
400
This is the logarithm below expanded completely.
log_4((64sqrt(x-1))/(x^3+5))
3+1/2log_4(x-1)-log_4(x^3+5)
400
This is the domain of
f(x)=ln(4x+12)
(-3,infty)
500
These are the zero(s) of the function on the interval [0, 2pi)
g(x)=10cos^2(x)+5cos(x)
x=pi/2, x=(3pi)/2, x=(2pi)/3, x=(4pi)/3
500
These are all asymptote(s) of the function
f(x)=(2x^3-5x+1)/(10x^3-40x^2+30x)
y=(1)/(5); x=0; x=1; x=3
500
csc(x)-cos(x)cot(x)
sin(x)
500
A radioactive compound with mass 450 mg decays continuously at a rate of 14% each minute. How long will it take for this compound to reach a mass of 25 mg?
20.65 minutes
500
This is the domain and range of the function graphed below:
D: (-infty,0)cup(0,infty)
R: (-infty,4]cup(6,7)