Math Nation Algebra 1 Unit 1 Vocabulary

discrete function

• a function in which the elements of the domain and range can be written as a list of specific points

• a function that can take any value within a given range

• a function that is continuous and has no breaks or gaps

• a function that only includes integer values

closure property

• states that a set of numbers is closed under an operation when the result of the operation is in the same set of numbers

• indicates that a set of numbers can only be operated on by addition

• means that the result of an operation must be a different set of numbers

• implies that operations can be performed on any set of numbers without restrictions

compound inequality

• a conjunction of two or more inequalities

• a single inequality with one variable

• an equation involving multiple variables

• a type of polynomial expression

function notation

• represents certain functions using letters, such as f(x) or h(x)

• is a method for solving equations

• is used to graph linear functions

• is a type of mathematical constant

natural numbers

• 0, 1, 2, 3, 4,...; the set of whole numbers

• 1, 2, 3, 4,...; the set of counting numbers

• -1, 0, 1, 2, 3,...; the set of integers

• 1, 2, 3, 4, 5,...; the set of positive integers

x-value

• input

• dependent variable

• term in the range

• output

vertical line test

• A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

• A test to measure the slope of a line in a graph.

• A technique used to find the area under a curve in calculus.

• A way to identify the x-intercepts of a function.

y-value

• output

• independent variable

• term in the domain

• constant

continuous function

• a function that is defined only at discrete points

• a function that has a finite number of discontinuities

• a function in which the elements of the domain and range include all numbers in the inequality and must be represented by a line or part of a line

• a function that can be graphed as a series of separate points

relation

• set of input and output pairs; any set of ordered pairs

• a single input-output pair

• a collection of unrelated elements

• a function that maps inputs to outputs