vocab 1
equation
a statement that the values of two mathematical expressions are equal (indicated by the sign =).
function
a relationship or expression involving one or more variables.
table of function
A function is a rule that assigns a set of inputs to a set of outputs in such a way that each input has a unique output.
independent variable
An independent variable is a variable that represents a quantity that is being manipulated in an experiment.
relative maximum
local maximum. the value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point
variable
A variable is a quantity that may change within the context of a mathematical problem or experiment
domain
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
map diagram of a function
A mapping diagram consists of two parallel columns. The first column represents the domain of a function f , and the other column for its range.
dependent variable
A dependent variable represents a quantity whose value depends on those manipulations.
relative minimum
The first derivative test and the second derivative test are common methods used to find minimum values of a function.
compound inequality
A compound inequality is an equation with two or more inequalities joined together with either "and" or "or"
range
The Range is the difference between the lowest and highest values.
graph of a function
The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . ... The y value of a point where a vertical line intersects a graph represents an output for that input x value.
continues
A function is continuous when its graph is a single unbroken curve ... ... that you could draw without lifting your pen from the paper.
exterma
Extrema, in calculus, any point at which the value of a function is largest (a maximum) or smallest (a minimum).
conjunction
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And”
input
Both the input and output of a function are variables, which means that they change
function graph
The graph of a function f is the set of all points in the plane of the form (x, f(x)).
discrete
the graph of a discrete function, only separate, distinct points are plotted, and only these points have meaning to the original problem
x intercept
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
relation
A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs.
output
Both the input and output of a function are variables, which means that they change.
vertical line test
A test use to determine if a relation is a function
y intercept
reasonable domain and range
The set of all possible values of the independent variable.<br />Reasonable Domain –<br />The set of all possible values of the independent variable that make sense for the given situation.<br />