Scared Flashcards
A sequence in which the difference of consecutive terms is constant
Arthimetic Sequence
A line that a graph approaches more and more closely
Asymptote
Allows you to rewrite a logarithm in terms of logs written with another base
Change of Base Formula
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
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
The constant difference “d” between consecutive terms of an arithmetic sequence
Common Difference
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
Pairs of complex numbers of the forms a+bi, where b does not equal zero
Complex Conjugates
A fraction that contains a fraction in its numerator or denominator
Complex Fraction
A logarithm with a base of ten referred to as simply log
Common Logarithm
The constant ratio “r” between consecutive terms of a geometric sequence
Common Ratio
A number written in the form a+bi where a and b are real numbers
Complex Number
An operation that can be performed with two functions
Composition of Functions
An inequality that combines two simple inequalities
Compound Inequality
A figure formed by the intersection of a plane and a right circular cone
Conic Section
Has at least one solution
Consistent
The constant “A” in the inverse variation equation y=a/x, where a does not equal zero
Constant of Variation
Forming an unbroken whole
Continuous Relation
A number “r” from -1 to 1 that measure how well a line fits a set of data pairs (x,y)
Correlation Coefficient
Infinte number of solutions
Dependent
The dimensions of a matrix with m rows and n columns are m X n
Dimensions of a Matrix
A simple relationship between two variables
Direct Variation
The expression b^2-4ac in the quadratic formula
Discriminant
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
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
