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| a finite combination of symbols that are well-formed according to the rules applicable in the context at hand |
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| a mathematical statement that asserts the equality of two expressions |
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| a statement how the relative size or order of two objects. |
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| to reduce to basic essentials |
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| to find a solution, explanation, or answer for |
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| the x-coordinate of a point where a line, curve, or surface intersects the x-axis |
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| the x-coordinate of a point where a line, curve, or surface intersects the x-axis |
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| the y-coordinate of a point where a line, curve, or surface intersects the y-axis |
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| a list of two things, such as (a, b) |
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| not changing or varying; uniform; regular; invariable: All conditions during the three experiments were constant. |
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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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| a compound proposition that is true if and only if one and only one of a number of alternatives is true. |
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| a way to determine whether or not a relation is a function. The vertical line test simply states that if a vertical line intersects the relation's graph in more than one place, then the relation is a NOT a function. |
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| having the property that every subset is an open set. |
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| uninterrupted in time; without cessation |
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| to have or take an inclined or oblique direction or angle considered with reference to a vertical or horizontal plane; slant. |
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| a region characterized by a specific feature |
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| the extent to which or the limits between which variation is possible |
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| any list, roll, or register |
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| a set by stating the properties that its members must satisfy |
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| a set of real numbers with the property that any number that lies between two numbers in the set is also included in the set |
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| A system of equations is a collection of two or more equations with a same set of unknowns |
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| a rectangular array of numbers, symbols, or expressions |
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| a variable whose value depends on the values of one or more independent variables. |
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| a variable in an equation, whose values make up the domain |
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| inversely related or proportional; opposite |
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| to ascertain the numerical value of (a function, relation, etc.). |
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| The exponent says how many copies of the base are multiplied together. The power of a number shows you how many times to use the number in a multiplication. |
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| a particular mathematical object that is used as a building block. |
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| what the number divides into |
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| can either be real or complex numbers |
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| A part of an algebraic equation or a number in a sequence or a series or a product of real numbers and/or variables. |
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| An algebraic expression consisting of a single term. |
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| A polynomial equation with two terms usually joined by a plus or minus sign |
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| An algebraic equation with 3 terms |
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| An equation that can be written with one side equal to 0. Asks you to find the quadratic polynomial that is equal to zero. |
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| A type of curve, any point of which is equally distant from a fixed point, called the focus, and a fixed straight line, called the directrix. |
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| something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms |
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| a conic section, the intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface. |
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| any number whose square is a real number less than zero. |
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| used to rationalize the denominator of a fraction |
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| a technique for converting a quadratic polynomial of the form |
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| the relation that occurs when you switch the order of the elements in the relation. |
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| a function that undoes another function |
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| a number x is a number r such that r2 = x, or, in other words, a number r whose square (the result of multiplying the number by itself, or r × r) is x.[1] For example, 4 is a square root of 16 because 42 = 16 |
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| a number which multiplies by a variable |
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| a rate describing how one quantity changes in relation to another |
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| The absolute value of a positive number is the number itself. The absolute value of a negative number is the opposite number |
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| A quantity representing the power to which a fixed number (the base) must be raised to produce a given number |
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| is the logarithm with base 10. |
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| .is the logarithm to the base e |
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| when a > 0 and the b is greater than 1, the graph will be increasing (growing). |
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| when a > 0 and the b is between 0 and 1, the graph will be decreasing (decaying |
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| the exponential function is the function ex, |
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| curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity |
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an increase
(like in value) |
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| an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. |
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| any function which can be written as the ratio of two polynomial functions. Neither the coefficients of the polynomials nor the values taken by the function are necessarily rational. |
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| a single point at which the graph of a function is not connected but can be made connected by filling in that point. |
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| the highest degree of a polynomial's terms |
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| The coefficient of a polynomial's leading term. |
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| When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. |
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| When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. |
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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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| the logarithm with base 10. |
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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 relation that occurs when you switch the order of the elements in the relation. |
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| a function that undoes another function |
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| oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant |
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| center or origin of interest |
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| round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center) |
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| open curve formed by the intersection of a cone with a plane at a smaller angle with its axis than the side of the cone |
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| is A fixed line used in describing a curve or surface |
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| open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape |
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| figure formed by the intersection of a plane and a right circular cone. Depending on the angle of the plane with respect to the cone, a conic section may be a (circle) (ellipse) (parabola)(hyperbola) |
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