Terms and Definitions -
Any words, terms or phrases that appear in your Grade 11 IB Standard Level Mathematics studies can be found alphabetically listed below...
FUNCTIONS
A COMPOSITE FUNCTION is a combination of two or more functions
The DOMAIN is the set of all the first numbers (x-values) of the ordered pairs A FUNCTION is a mathematical relation such that each element of the domain of the function is associated with exactly one element of the range of the function (Vertical Line Test - a relation is a function if any vertical line drawn will not intersect the graph of that function more than once) An INVERSE FUNCTION reverses the action of that function [the inverse of f(x) is f^-1(x)] The RANGE is the set of the second numbers (y-values) in each pair |
A REFLECTION is when a graph is reflected in a line of reflection, usually either the x-axis, y-axis, or in the case of graphs of inverse functions, in the line y = x
A RELATION is a set of ordered pairs A STRETCH is when a graph is a graph is either stretched or compressed (by a determined scale factor) in either a vertical or horizontal direction A TRANSLATION is when a graph is transformed either vertically or horizontally, or both, from one place on a graph to another. It can be represented by a column vector |
QUADRATIC FUNCTIONS AND EQUATIONS
Graphs of quadratic functions have a curved shape known as a PARABOLA
Graphs of quadratic functions are symmetrical about an AXIS OF SYMMETRY which runs vertically through the vertex of the parabola |
The VERTEX of a graph of a quadratic function is the minimum or maximum point
|
PROBABILITY
An EVENT is an outcome from an experiment
An EXPERIMENT is the process by which we obtain an outcome EXPERIMENTAL probability (what does occur) gives the relative frequency of an event, which can be used as an estimate of the theoretical probability |
A RANDOM EXPERIMENT is one where the is uncertainty over which event may occur
SUBJECTIVE probability (based on past experience) can be used to make an educated 'guess' at what may occur, for example in an upcoming sports match THEORETICAL probability (what should occur) denoted by P(A) = n(A)/n(U) where n(A) is the number of ways that event A can occur and n(U) is the number of possible outcomes |