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| A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included. For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8 |
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| This is another format to express sets of numbers. It looks similar to the inequality representing the set of numbers. |
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| Always a positive number, refers to the distance of a number from 0 |
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| A function is a relation in which each input has only one output (Note: no duplicate x's) |
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| The domain of a relation (or of a function) is the set of all inputs of that relation (or function). Some functions are not defined for all real numbers, and thus are evaluated over a restricted domain. |
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| The range of a relation (or of a function) is the set of all output values. The values of the range depend on the domain. |
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To determine whether y is a function of x, given a graph, use the following criteria.
If every vertical line you can draw goes through only 1 point, it is a function.
If you can draw a vertical line that goes through 2 points, it is not a function. |
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3(4 + 2) = 3x4 + 3x2
3x6 = 12 + 6
18 = 18
(Both sides have a result of 18.) |
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| Slope is a measure of the steepness of a line (or segment) as well as an indicator as to whether the line is rising or falling. |
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| A statement of equality between two expressions |
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An ordered pair is two numbers for which the order in which they are given is important.
Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point. |
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| A constant is a term that does not change |
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| To solve an equation means to find the solution set to an equation involving variables. |
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| A solution is a value that yields a true result when substituted into the unknown of an equation |
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| An expression is a general term that ultimately represents a number. An expression can consist of numbers, variables and operations on these |
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| A conjunction is a mathematical operator that returns an output of true if and only if all of its operands are true |
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| two logical statements connected with an 'or' |
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| if all the members of the set are isolated |
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| A function or curve is continuous if it is an unbroken curve. |
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| to convert to a simpler form |
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| point at which a graph crosses the x-axis |
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| point at which a graph crosses the y-axis |
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| statement how the relative size or order of two objects, or about whether they are the same or not |
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| complete or implied listing of all the elements of the set |
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| In an expression of the form xn, the exponent is n. The exponent represents the number of times the base (in this case, x) is multiplied by itself. The expression xn is called a power. |
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In a multiplication expression, the quantities being multiplied are called factors.
In the monomial term 3bc, there are three factors: 3, b and c.
In the algebraic expression 3(m+5) there are two factors: 3 and (m+5). |
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| a number, a variable, or a product of numbers and variables. |
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| The sum of two monomials. |
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| The numerical factor in a term. In the term 4x, 4 is the coefficient |
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| The domain contains values represented by the independent variable. The domain values are graphed on the x-axis |
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| To find the value of an expression when the value of the variables are known. |
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| A replacement for the variable(s) in an open sentence that results in a true sentence. |
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| A monomial is a number, a variable, or a product of a number and one or more variables. |
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| A trinomial is the sum of three monomials, assuming that like terms have been combined. |
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| When solving an equation for a given variable, that variable becomes the dependent variable. That is, its value depends upon the domain values chosen for the other variable. The dependent variable represents the range and is graphed on the y-axis |
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| continues forever in both directions on the number line |
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| A set of equations (two or more) with the same variables. |
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| a rectangular array of numerals or variables that can be used to represent systems of equations. |
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| a polynomial equation of the second degree |
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| The speed at which a variable changes over a specific period of time |
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| list of numbers that are used to substitute one variable |
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