Picture This!
The Solution To All Your Problems
Apply Your Brains
Take me to FUNCy town
It's What's On The Inside That Counts
Not Lines
Get Triggy With It
100
A point that is symmetric with respect to the origin to the point
(4, -7)
(-4,7)
100
Solve the equation
log(x-9)+logx=1
10
100
The line of best fit for the data set
x: 1 | 3 | 5 | 6 | 9
y: 7 | 10 | 14 | 13| 18
rounding coefficients to 2 dec places.
y=1.34x+5.96
100
A sketch of an Even function
100
The domain of the function below, in interval notation
[-1,4)
100
The type of conic section given by the equation
2x^2 +5x+2y^2 -9x-5=0
A Circle
100
If A is an angle in standard position with the point (-1,7) on its terminal side.
This is SinA and cosA
SinA=(7sqrt2)/10, cosA=-sqrt2/10
200
This is the type of trig function used for the graph below, assuming there are no phase shifts.
Cosecant
200
The exact value solution to the equation
7^(2x)-4=9
ln(13)/(2ln7) = 0.6591
200
The angle of elevation of the Sun is 36.6^o at the instant the shadow cast by a building is 710 feet long. Use this information to calculate the height of the building.
527.3 ft
200
A sketch of
y=2root3(x-1)
200
The domain of the function
r(x)=x/sqrt(x-4)
in interval notation
(4,oo)
200
A polynomial with real coefficients of degree 4 with zeros 0 (multiplicity 2) and 2i
x^2(x^2+4)-> x^4+4x^2
200
The exact value of
tan(cos^-1 (sqrt(5)/3))
(2sqrt(5))/5
300
The local minima and maxima of the function
Min (0,0) and (3,2)
Max (2,3)
300
The solutions on 0<=x<2pi for
sinxtanx-sinx=0
0, pi/4, pi, (5pi)/4
300
The amount in a savings account at the end of 20 years if the original deposit is $6000 and the interest rate is 6% compounded quarterly.
$19,743.98
300
For f(x)=x^2-3x find
(f(x+h)-f(x))/h
2x-h-3
300
This is the domain of f circ g if
f(x)=x^2-5, g(x)=2sqrt(x)
[0,oo)
300
The vertical and horizontal asymptotes of the function
R(x)=(4x^2)/(2x^2+5x-3)
VA: x=1/2, x=-3
HA: y=2
300
If sinA=1/2, 0<A<pi/2 and sinB=3/5, pi/2<B<pi then this is the exact value of cos(A+B)
(-4sqrt3-3)/10
400
The equation to the transformed graph
y=-2abs(x)+3
400
The general formula for all radian solutions of
tan(3x)=-1
x=(pi)/4+pi/3k , x=(5pi)/12+pi/3k
400
An open box with a square base is to be made from a square piece of cardboard 21 inches on a side by cutting out a square from each corner and turning up the sides.
This is the model that gives the volume of the box as a function of x. (You can leave it factored)
V=x(21-2x)^2
400
The inverse of the function
f(x)=2/(x+4)
f^-1(x)=(2+4x)/x
400
The domain in interval notation of the function
f(x)=log_3(3-x)
(-oo,3)
400
List the possible rational zeros of the polynomial
P(x)=5x^4-3x^2+2x-10
+-{1/5, 1, 2/5, 2, 5, 10}
or +-{1/5, 2/5, 1, 2, 5, 10}
400
Use the half angle formula to find the exact value of
sin((3pi)/8)
sqrt(2+sqrt(2))/2
500
This is the amplitude, period, and phase shift of the function y=-5cos(4x-pi)+3
Amp:5
Period: pi/2
Phase shift: pi/4
500
The equation of the graph
(x+1)^(2)/(16)-((y-1)^(2))/(9)=1
500
The population of a particular country was 28 million in 1983, the exponential growth function A=28e^(kt) describes the population of this country t years after 1983. Use the fact that 11 years after 1983 the population increased by 8 million to find k to three decimal places.
0.023
500
The fully factored form of
P(x)=x^3-2x^2 -6x+12
P(x)=(x-2)(x-sqrt6)(x+sqrt6)
500
The domain of the function
t(x)=2sec(1/2 x)
RR, x!=pi+2pik
500
The focus of the parabola
2(x+1)=(y-4)^2
(-0.5,4)
500
The simplified form of
1-cos^2theta/(1+sintheta)
sintheta