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Also called numerical value. the magnitude of a quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |3| or |−3| is equal to 3. |
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the property that terms in an expression may be expanded in a particular way to form an equivalent expression. |
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compound statement that uses the word or |
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variable, function, or some combination of constants, variables, or functions |
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an expression or a proposition, often algebraic, asserting the equality of two quantities. |
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a. a statement indicating that the value of one quantity or expression is not equal to another, as in x ≠ y |
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to reduce (an equation, fraction, etc) to a simpler form by cancellation of common factors, regrouping of terms in the same variable, etc |
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a. the unique set of values that yield a true statement when substituted for the variables in an equation b. a member of a set of assignments of values to variables under which a given statement is satisfied; a member of a solution set |
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a. to work out the answer to (a problem) b. to obtain the roots of (an equation) |
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logic map , Also called: mapping a relation between two sets that associates a unique element (the value) of the second (the range) with each element (the argument) of the first (the domain): a many-one relation. Symbol: f( x ) The value of f( x ) for x = 2 is f(2) |
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WHere the line crosses the x axis |
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where the line crosses the y axis |
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two quantities written in such a way as to indicate that one quantity precedes or is to be considered before the other, as (3, 4) indicates the Cartesian coordinates of a point in the plane. |
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a quantity assumed to be unchanged throughout a given discussion. |
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The change in the value of a quantity divided by the elapsed time. For a function, this is the change in the y-value divided by the change in the x-value for two distinct points on the graph. |
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A method for finding points that solve an equation so the equation can be graphed. You guess an x, then plug it into the equation to solve for the matching y value. Continue until you have enough (x,y) pairs to graph. |
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2 or more equations together, must be solved toghether |
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the exat opposite of a number |
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a numbet rasing the number preceding it to the power equl to the exponents value. |
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the number itself raised by a power |
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a number in an inequality |
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an equation with one term |
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an equation with two terms |
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an equation with three terms, one variable raised to the 1st power, one a varible raised to the second power |
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an equation almost containing a variable to te 2nd power |
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an equation that, with a 2nd power variable, creates a circular shape |
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a set of numbers together in a group |
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ax+by=c (slope) ax^2+bx+c=c (quadratic) |
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a number before a varialbe that multiplies said variable by it's value |
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test to determine if a curve is a relation or graph |
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way of representing the elements of a set |
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set of real numbers with the property that any number that lies between two numbers in the set |
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notation for describing a set by stating the properties that its members must satisfy |
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the domain of definition or simply the domain of a function is the set of "input" or argument values |
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the range of a function refers to the output of a function |
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Individually separate and distinct. |
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2.Forming a series with no exceptions or reversals. |
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(imaginary number) complex number: (mathematics) a number of the form a+bi where a and b are real numbers and i is the square root of -1. |
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technique for converting a quadratic polynomial of the form. |
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the inverse relation of a binary relation is the relation that occurs when you switch the order of the elements |
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a function obtained by expressing the dependent variable of one function as the independent variable of another; |
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A number that produces a specified quantity when multiplied by itself |
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a quantity of which a given quantity is the square: |
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of or pertaining to an exponent or exponents. |
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the act or process, or a manner of growing; development; gradual increase. |
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to decline in excellence, prosperity, health, etc.; deteriorate |
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a straight line approached by a given curve as one of the variables in the equation of the curve approaches infinity. |
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the logarithm to the base e, where e is an irrational and transcendental constant approximately equal to 2.718281828. |
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the exponent by which another fixed value, the base , has to be raised to produce that number. |
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any function which can be written as the ratio of two polynomial functions. |
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an expression of finite length |
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two quantities are said to be proportional if they vary in such a way that one of the quantities is a constant multip |
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leading coefficient is the number, called a coefficient, which is multiplies the highest non-zero power of the independent variable |
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A unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle: "set at an angle of 45 degrees". |
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A round plane figure whose boundary (the circumference) consists of points equidistant from a fixed center. |
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is a conic section, created from the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface. |
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is a conic section, created from the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface. |
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is a curve, specifically a smooth curve that lies in a plane, which can be defined either by its geometric properties or by the kinds of equations for which it is the solution set |
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a curve obtained as the intersection of a cone (more precisely, a right circular conical surface) with a plane. |
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Two points inside an ellipse that are used in it's formal definition. |
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is a straight line associated to a geometric object |
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