A number that shows how many times the base number is to be multiplied by itself.
What is an exponent
100
log(b,a)=x = b^x=a
What is the definition of a log
100
A pair of angles whose measures add up to 90 degrees
What are complementary angles
200
Applying one function to the results of another.
Ex: f(x) g(x) => f(g(x))
What is composition
200
A set of basic functions used as the basis for more complicated functions
What is a parent function
200
Calculated before multiplication but after values with parentheses.
What is the exponent's place in the order of operations
200
a of log(a,b)
What is the base of a logarithmic function
200
Two lines on a single plane that never intersect and have the same slope.
What are parallel lines
300
f^-1(x) = {(1,-1), (2,1), (3,3), (4,5)}
What is the inverse of f(x) = {(-1,1), (1,2), (3,3), (5,4)}
300
A transformation of stretching horizontally by 2 and moving vertically up by 5 on the parent function y = x
What is y = (x/2) + 5
300
Exponent Property: (a/b)^n = a^n/b^n
What is the exponential quotient to a power property.
300
Property: log(b,a) = log(x,a)/log(x,b)
What is the change of base formula
300
[(x1+x2)/2 , (y1+y2)/2]
What is the midpoint formula
400
The composition f(g(x)) = 2(x+3)
What is the composition of f(x) = 2x g(x) = x+3
400
A transformation of shifting right by 2, vertically stretching by 3, flipping vertically, and shifting vertically up by 5.
What is y = -3(x-2)+5
400
(a^n)^m
What is the expanded form of a^nm
400
-3log2 + 8log5
What is the expanded form of log(0.125*390625)
400
When two lines are intersected by a transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are congruent. (Two parts to this)
What is the definition of alternate interior angles and the alternate interior angle conjecture.
500
Range: (-∞, 7)
What is the range of a function with x>3 and y<7
500
A transformation of flipping horizontally, shifting to the right by 4, stretching vertically by 3, and shifting up vertically by 7.
What is the transformation for y = 3(-x-4)^2+7
500
[(3a^4)(2a)]/[(-3a^-1)(5a^-2)]
What is the expanded form of -2/5*a^8
500
log(k^-5/s^6)
What is the condensed form of -5logk - 6logs
500
A proven fact in geometry through logic, the use of definitions, undefined terms, postulates, and other proven facts.