Functions
What form is y = a(x-h) + k considered as?
Vertex form
Simplify
(3xy-15y)/(6xy-12y)
(x-5)/(2(x+2))
Find the radius of the circle that's center is at (10, 3) and contains the point (6,0)
convert 135o to radians
3pi/4
What is the furthest planet from the sun?
Neptune.
Name 3 parent functions
Constant, Linear, Quadratic, Square root, cubic, cube root, exponential, logarithmic, absolute value, Reciprocal.
Perform the indicated operation and simplify as much as possible
6/x + 7/(5x2)
(30x+7)/5x2
cos(pi)
-1
What is tangent in terms of sine and cosine
tan = Sin/Cos
What NBA player is the leading all-time point scorer for regular season and playoffs?
Lebron James
Assume f(x) = 3x2 + 4
find f(-3)
Let g(x) = x/(x-4) and h(x) = -1/(x+2)
solve g(x) = h(x)
x = -4, 1
sin(pi/6)
1/2
What is cosecant in terms of sine and cosine
1/sin
In what year was the movie Jurassic Park released?
1993
What is the vertical asymptote
f(x) = (x2 - x - 6)/(x-3)
x = 3
Solve for x
7x2 + 12x -27 = 0
x = -3, x = 9/7
sin(-pi/4)
sqrt(2)/2
solve for x on the interval (0, 2pi]
10sin(x) = 5
pi/6, 5pi/6
What animal has the strongest bite?
A hippopotamus.
Find the x and y-intercepts
f(x) = (x2 - x - 6)/(x-3)
x: (-2,0)
y: (0,2)
Solve for x
4/(x-3) = 9/(x+2)
x = 7
cos(480o)
-1/2
solve for x on the interval (0, 2pi]
sin(2x) = 1/2
x = pi/12, 5pi/12, 13pi/12, 17pi/12
What are the four states of matter?
Solid, liquid, gas, and plasma.