Conic Sections
Function Features
Polynomials & Rationals
Trig Identities
Trig
100
Tell which conic section it is (circle, parabola, hyperbola, or ellipse) 4x^2 + y^2– 8x – 2y = –1.
ellipse
100
The domain of (x+1)1/2 in interval notation
[-1, inf)
100
The leading term in f(x)=(x+1)3(5x-1)(x-3)4
5x8
100
Simplify: cos2(x) + sin2(x)
1
100
The law of cosines can be used on this type of triangle (one of two)
What is SSS
200
What is the equation of a circle that has a radius of 7 which has been translated 4 units to the right and 3 units up from having its center at the origin.
(x-4)^2 + (y-3)^2 = 49
200
What is the limit of this function as x approaches 0?
DNE
200
Describe the end behavior of the polynomial.
Given f(x)=-3x7+5x4-4x3+9
up to the left and down to the right
200
Simplify: sec2x - 1
tan2x
200
The amplitude and period of y=2sin(4x)
amplitude=2
frequency=4, so period=2pi/4 = pi/2
300
The standard form for the ellipse 9x^2 + 16y^2 - 54x + 64y +1 = 0
(x - 3)^2/16 + (y - 2)^2/9 = 1
300
Find all Vertical asymptotes
x+2/2x-10
X=5
300
The result of 2x3-6x+1 divided by x-3
2x2+6x+12+ 37/(x-3)
300
(tanx+cotx)/( csc^2 x)
tan(x)
300
The solution for angle C=?, when A=21, c=20, and a=15
What is 28.50 or 151.50
400
What are the vertices of (y^2)/16 - (x^2)/25 = 1
(0, 4) or (0, -4)
400
Find the holes
x+3/x2-10x+21
(-3,1/4)
400
The result of 42x2 - 33 divided by 7x + 7
6x - 6 + 9/7x+7
400
(sinx)(tanx)(cotx)(cscx)
1
400
From a point on the ground 47 feet from the foot of a tree, the angle of elevation to the top of the tree is 35º. Find the height of the tree to the nearest foot. (Calculator allowed)
33
500
A ball is dropped from a height of 36 feet. The quadratic equation d = -t² + 36 provides the distance, d, of the ball, after t seconds. After how many seconds, does the ball hit the ground?
6 seconds
500
The domain and range of y=2 sin(2x-pi)-3
D: all real numbers
R: [-5,-1]
500
The asymptote(s) and the x-coordinate of all holes of the rational function
f(x)=(x+1)(2x-1) / (3x+2)(2x-1)(-x+3)
VA: x=-2/3 and x=-3
HA: y=0
Hole: occurs at x=1/2
500
What are the 3 Pythagorean Identities?
sin2x + cos2x = 1
tan2x + 1 = sec2x
cot2x + 1 = csc2x
500
The solution to 2tan(x)sin(x)+2sin(x)=tan(x)+1 on [0,2pi]
3pi/4, 7pi/4, pi/6, 5pi/6