Scared Flashcards by Bella Rose EaganSmith

A sequence in which the difference of consecutive terms is constant

Arthimetic Sequence

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A line that a graph approaches more and more closely

Asymptote

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Allows you to rewrite a logarithm in terms of logs written with another base

Change of Base Formula

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A shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point

Circle

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Describes a situation where a variable depends on two(or more) other variables, and varies directly with some of them and varies inversely with others(when the rest of the variables are held constant)

Combined Variation

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The constant difference “d” between consecutive terms of an arithmetic sequence

Common Difference

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To add a term “c” to an expression of the form x^2+bx such that x^2+bx+c is a perfect form trinomial

Completing the Square

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Pairs of complex numbers of the forms a+bi, where b does not equal zero

Complex Conjugates

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A fraction that contains a fraction in its numerator or denominator

Complex Fraction

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A logarithm with a base of ten referred to as simply log

Common Logarithm

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The constant ratio “r” between consecutive terms of a geometric sequence

Common Ratio

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A number written in the form a+bi where a and b are real numbers

Complex Number

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An operation that can be performed with two functions

Composition of Functions

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An inequality that combines two simple inequalities

Compound Inequality

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A figure formed by the intersection of a plane and a right circular cone

Conic Section

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Has at least one solution

Consistent

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The constant “A” in the inverse variation equation y=a/x, where a does not equal zero

Constant of Variation

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Forming an unbroken whole

Continuous Relation

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A number “r” from -1 to 1 that measure how well a line fits a set of data pairs (x,y)

Correlation Coefficient

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Infinte number of solutions

Dependent

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The dimensions of a matrix with m rows and n columns are m X n

Dimensions of a Matrix

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A simple relationship between two variables

Direct Variation

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The expression b^2-4ac in the quadratic formula

Discriminant

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A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points in a constant

Ellipse

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The behavior of the graph of a function as x approaches positive infinity or negative infinity

End Behavior

Equations in which variable expression occur as exponents

Exponential Equation

Solutions that are not solutions of the original equation

Extraneous Solution

The smallest and largest of values

Extrema

A theorem linking factors and zeros of a polynomial. It is a special case of the polynomial remainder

Factor Theorem

List of terms in a specific order

Finite Sequence

A relation from a set of inputs to a set of possible output where each input is related to exactly one output

Function

A sequence in which the ratio of any term to the previous term is constant

Geometric Sequence

The function rounds off the real number down to the integer less than the number. This function is also known as the Floor Function llxll

Greatest Integer Function

The factor by which a quantity multiplies itself over time

Growth Factor

Two curves that are like infinite bow

Hyperbola

A function that always returns the same value that was used as its argument

Identity Function

The square root of -1

Imaginary Unit

If a system has no solution

Inconsistent

The quantity that is being manipulated

Independent

List or string of discrete objects, usually numbers that can be paired off one-to-one with a set of positive integers

Infinite Sequence

Way of writing subscripts of the real number line

Interval Notation

Functions that undo each other

Inverse Function

Two variables x and y show inverse variation when y=a/x, where a does not equal zero Inverse

Variation

Occurs when a variable varies directly or inversely with multiple variable y=kxz

Joint Variation

The chord through a focus parallel to the conic section

Lactus Rectum

Mathematical Modeling Technique in which a linear function is maximized or minimized when subjected to various constraints

Linear Programming

The inverse function to exponentiation. y=logbx

Logarithm

General differential equation that only models the sigmoid function for x is greater than 0

Logistic Growth Model

The ordered pairs switch

Inverse Relation

A rectangular arrangement of numbers

Matrix

For an integer "n"; greater than 1, if b^a, then b is an nth root of a

Nth Root

A logarithm with base "E", denoted by ln

Natural Logarithm

for any number a does not equal 0. a^-n. move the base

Negative Exponent

The graph of a quadratic function

Parabola

The most basic function in a family of functions

Parent Function

A function defined by two or more equations

Piece-Wise Defined Function

Means that you're supposed to write the equation of a line from knowing its slope and any point on the line.

Point-Slope Form

A function that can be written in the form f(x)=a(x-h)^2+k, where x does not equal zero

Quadratic Function

The value inside the radical

Radicand

Used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable

Rate of Change

Exponent that is a function

Rational Exponent

A function that is the ratio of two polynomials. It is "rational" because one is divided by the other, like a ratio

Rational Function

To eliminate any radical expressions in the denominator such as square roots and cube roots

Rationalizing the Denominator

A formula that defines each term of a sequence using preceding term

Recursive Formula

A line that best describes the behavior of a set of data

Regression Line

Point is a point where the function changes direction from increasing to decreasing

Relative Maximum

A point where the function changes direction from decreasing to increasing

Relative Minimum

A point where the function changes direction from decreasing to increasing

Relative Minimum

Solution of an equation

Root

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present

Scatter Plot

An ordered list of numbers

Sequence

Uses symbols to define a set, in terms of the properties of the members of the set. All x such that

Set-Builder Notation

A piecewise function defined by a constant value over each part of its domain

Step Function

A shortcut method to divide a polynomial by a bionomial of the form x-k

Synthetic Division

A quadratic function written in the form f(x)=a(x-h)^2+k, where a does not equal zero

Vertex Form

A method that is used to determine whether a given relation is a function or not

Vertical Line Test

the x intercepts of the graph of a function

Zeros

Scared Flashcards

(77 cards)