A | B |
In a plane, the set of points, equidistant from a fixed point. | Circle |
Sequence in which the ratio of any 2 successive terms is a constant, r. | Geometric Sequence |
Condition 1: Statement true for natural number 1. Condition 2: Statement is true for some natural number k; it is also true for the next natural number k + 1. | Principles of Mathematical Induction |
In a plane, the set of points equidistant from a fixed point F (focus) and a fixed line D (directrix). | Parabola |
In a plane, the set of points such that for each point in the set the sum of its distances to 2 fixed points (foci) is a given constant, 2a. | Ellipse |
Intersection of ellipse and major axis. | Vertices (ellipse) |
If a horizontal line intersects the graph of a function in more than one point, then the function is not one to one, and it's inverse is not a function. | Horizontal Line Test. |
n! = n(n - 1)! If n greater than or equal to 0, is an integer. | Factorial |
function whose domain is the set of positive integers (natural numbers) | Sequence |
Function of the form f(x) = a^x, where a>0, a =/ 1. | Exponential Function |
An equation having a variable in the exponent. | Exponential Equation. |
Value which is not a decimal approximation. | Exact Value |
Let f be a polynomial function with a positive (negative) leading coefficient, and c be a positive number. If the results of substituting c synthetically into f yields non-negative (non-positive) numbers, then c is an upper bound for the zeros of f. | Upper Bound Test. |
et f be a polynomial function, and c be a negative number. If the result of substituting c synthetically into f yields numbers alternating in sign (0 may be considered either + or -), then c is a lower bound for the zeros of f. | Lower Bound Test. |
Any set of ordered pairs. | Relation |
Set of first coordinate of the ordered pairs of the relation. | Domain |
Set of 2nd coordinates of ordered pairs of relation. | Range |
Relation in which no two ordered pairs have the same first coordinate. | Function |
Variable associated with the domain. | Independent Variable. |
Variable associated with range. | Dependent Variable |
If any vertical line intersects the graph of a relation in more than one point then the relation is not a function. | Vertical Line Test. |
Graph which suggests all points and all important features of the relation. | Complete Graph. |
A function f is increasing on an open interval I if from left to right the line increases or goes up. | Increasing on an interval. |
A function f is decreasing on an open interval I if from left to right the line is decreasing. | Decreasing on an interval. |