#### Study sets matching "alg2"

#### Study sets matching "alg2"

piecewise-defined function

piecewise-linear function

step function

greatest integer function

a functions using two or more expressions

a single expression

line segments

f(x)=[[x]]----- the greatest integer less than or equal to x.

piecewise-defined function

a functions using two or more expressions

piecewise-linear function

a single expression

Standard Form of a Quadratic Function

Parabola

Vertex Form

Intercept Form

The form ax^2+bx+c=0 when a is not zero.

The set of all points equidistant from a point called the foc…

The form y=a(x-h)^2+k, where the vertex of the graph is (h, k…

The form y=a(x-p)(x-q), where the x-intercepts of the graph a…

Standard Form of a Quadratic Function

The form ax^2+bx+c=0 when a is not zero.

Parabola

The set of all points equidistant from a point called the foc…

Degree of a polynomial

Depressed polynomial

End behavior

Extrema

The degree of the monomial with the greatest degree.

Has a degree that is one less than the original polynomial.

the behavior of the graph as X approaches positive infinity o…

the maximum and minimum values of a function.

Degree of a polynomial

The degree of the monomial with the greatest degree.

Depressed polynomial

Has a degree that is one less than the original polynomial.

natural numbers

whole numbers

integers

rational numbers

used to count... 1,2,3

natural numbers and zero... 0,1,2,3

are the natural numbers, their opposites, and zero... -3,-2,-1,0…

can be written as fractions, terminating decimals, and repeat…

natural numbers

used to count... 1,2,3

whole numbers

natural numbers and zero... 0,1,2,3

univariate data

distribution

frequency

mean

Data involving one variable

the spread of values in a data set

the number of times a specific value occurs in a data set

The average of a distribution, found by adding the values and…

univariate data

Data involving one variable

distribution

the spread of values in a data set

Ordered pair

Cartesian coordinate plane

Quadrant

relation

(x value, y value)... Position of a point on a coordinate graph…

A coordinate system that specifies each point uniquely in a p…

Each of four equal parts of a coordinate plane.

A set of ordered pair.

Ordered pair

(x value, y value)... Position of a point on a coordinate graph…

Cartesian coordinate plane

A coordinate system that specifies each point uniquely in a p…

variables

algebraic expressions

order of operations

formula

letters used to represent unknown quantities

expressions that contain at least one variable

1. evaluate the expressions inside grouping symbols... 2. evalua…

mathematical sentence that expresses the relationship between…

variables

letters used to represent unknown quantities

algebraic expressions

expressions that contain at least one variable

one-to-one function

onto function

discrete relation

continuous relation

each element of the domain pairs to exactly one unique elemen…

each element of the range corresponds to an element of the do…

a relation in which the domain is a set of individual points

when the domain of a relation has an infinite number of eleme…

one-to-one function

each element of the domain pairs to exactly one unique elemen…

onto function

each element of the range corresponds to an element of the do…

linear programming

linear system

constraint

consistent system

a method of finding a maximum and minimum value of a linear f…

a system of equations containing only linear equations

one of the inequalities that define the feasible region in a…

system of equations with at least one solution

linear programming

a method of finding a maximum and minimum value of a linear f…

linear system

a system of equations containing only linear equations

quadratic term

linear term

constant term

vertex

In algebra, a quadratic function, a quadratic polynomial, a p…

A linear equation is an algebraic equation in which each term…

Constant Term. The term in a simplified algebraic expression…

Vertex typically means a corner or a point where lines meet.…

quadratic term

In algebra, a quadratic function, a quadratic polynomial, a p…

linear term

A linear equation is an algebraic equation in which each term…

Exponential function

Exponential growth

Exponential decay

Asymptote

A function with the general form y=ab^x where a does not equa…

As the value of X increases, the value of y increases... Is mode…

As the value of X increases the value of y decreases

A line that a graph approaches but never touches

Exponential function

A function with the general form y=ab^x where a does not equa…

Exponential growth

As the value of X increases, the value of y increases... Is mode…

Constraints

Consistent Dependent System

Objective Function

Feasible Region

Boundaries used in linear programming

A system of equations with an infinite number of solutions

The function being maximized or minimized in linear programming

The area of intersection of a system of inequalities

Constraints

Boundaries used in linear programming

Consistent Dependent System

A system of equations with an infinite number of solutions

Quadratic Term

Linear Term

Constant Term

Vertex

For any numbers a, b, and c except for a=0.

In the equation ax2+bx+c, bx is the linear term.In f(x)=ax^2+…

ax^2+bx+c, c is the constant term

Any of the points of intersection of the graphs of the constr…

Quadratic Term

For any numbers a, b, and c except for a=0.

Linear Term

In the equation ax2+bx+c, bx is the linear term.In f(x)=ax^2+…

relation

function

domain

range

a set of ordered pairs. Ex: {(1, 2,) (1, 3)}

a relation such that for every x value in the domain, there i…

all the x values in a relation or function

all the y values in a relation or function

relation

a set of ordered pairs. Ex: {(1, 2,) (1, 3)}

function

a relation such that for every x value in the domain, there i…

absolute value of a number

order of operations

algebraic expression

terms

its distance from zero indicated by parallel bars on each sid…

1. parentheses... 2. powers... 3. multiplication or division from l…

an arrangement of variables and figures along with mathematic…

the parts of an expression separated by a + or a - sign

absolute value of a number

its distance from zero indicated by parallel bars on each sid…

order of operations

1. parentheses... 2. powers... 3. multiplication or division from l…

coordinate plane

exponent

linear function

quadratic function

A plane that is divided into four regions by a horizontal lin…

A mathematical notation indicating the number of times a quan…

a function with a power of 1 on the x-variable, forming a str…

a function with a power of 2 on the x-variable, forming a par…

coordinate plane

A plane that is divided into four regions by a horizontal lin…

exponent

A mathematical notation indicating the number of times a quan…

Data Set

Frequency

Dot Plot

Range

A set of values, found by recording obervations

number of times a value appears in a data set

A chart that uses dots to indicate the frequency of each valu…

Difference between the largest and smallest data values

Data Set

A set of values, found by recording obervations

Frequency

number of times a value appears in a data set

Systems of Equations

Systems of Inequalities

Parallel Lines

Consistent Lines - One Solution or Inf…

A set of linear equations with at least two equations and two…

Two or more linear inequalities for which a common solution i…

Lines that have no points in common. Lines that have the same…

intersect at only one point, the point is the only solution t…

Systems of Equations

A set of linear equations with at least two equations and two…

Systems of Inequalities

Two or more linear inequalities for which a common solution i…

Axis of Symmetry

Domain

Function

Function Notation

The line that divides a figure into two parts that are mirror…

The set of all inputs, or x-coordinates, of the ordered pairs

A relation in which each element of the domain corresponds wi…

Shows the function name f, and also represents the range valu…

Axis of Symmetry

The line that divides a figure into two parts that are mirror…

Domain

The set of all inputs, or x-coordinates, of the ordered pairs

explicit formula for arithmetic sequen…

Formula for sum of a finite arithmetic…

Explicit formula for geometric sequences

Sum of a finite geometric series

an=a1 + (n-1)d

Sn=n(a1+an/2)

an=a1 * r ^n-1

Sn=a1 (1-r^n/1-r)

explicit formula for arithmetic sequen…

an=a1 + (n-1)d

Formula for sum of a finite arithmetic…

Sn=n(a1+an/2)

Inverse Function

Vertex, or vertex of absolute value gr…

Index root

Rational Exponent

A method of writing or displaying numbers in terms of a decim…

The lowest point of an absolute value graph when f (x) = a |x…

Indicates the degree of the root

For any nonzero number b and any integers m and n with n > 1,…

Inverse Function

A method of writing or displaying numbers in terms of a decim…

Vertex, or vertex of absolute value gr…

The lowest point of an absolute value graph when f (x) = a |x…

Complex Conjugates

Complex Roots

Differences of Squares (Factoring Tech…

Discriminant

A complex conjugate is a complex number whose imaginary part…

Where the solutions are imaginary or complex. If you solve a…

This is a special factoring technique you can use when you ha…

This is the number under the square root in the quadratic for…

Complex Conjugates

A complex conjugate is a complex number whose imaginary part…

Complex Roots

Where the solutions are imaginary or complex. If you solve a…

Opposite

Reciprocal

Term

Coefficient

The opposite or additive inverse of any number. ... ( a is -a )

The reciprocal or the multiplicative inverse of any nonzero n…

An expression that is a number, a variable, or the product of…

The numerical factor of a term.

Opposite

The opposite or additive inverse of any number. ... ( a is -a )

Reciprocal

The reciprocal or the multiplicative inverse of any nonzero n…

Unit Circle

6 Trig. Functions

Trig. Identities

Special Right Triangles

0 deg. = 0... 30 deg. = pi/3... 45 deg. = pi/4... 60 deg. = pi/6... 90 de…

sin(theta) = 0/h... cos(theta) = a/h... tan(theta) = o/a... csc(theta)…

Reciprocal:... •cos (theta) = 1/tan(theta)... •csc(theta) = 1/sin(t…

45-45-90 ... *L =x... *L = x... *L = x square roots of 2... 30-60-90... *SL…

Unit Circle

0 deg. = 0... 30 deg. = pi/3... 45 deg. = pi/4... 60 deg. = pi/6... 90 de…

6 Trig. Functions

sin(theta) = 0/h... cos(theta) = a/h... tan(theta) = o/a... csc(theta)…

2.7 (RPT)... Addition Property of Equality

2.7 (RPT)... Subtraction Property of Equa…

2.7 (RPT)... Related Facts Property of Ad…

2.7 (RPT)... Additive Identity Property

For all real numbers a, b, and c, if a = b, ... then a + c = b +…

For all real numbers a, b, and c, if a = b,... then a − c = b − c.

For all real numbers a, b, and c,... if a + b = c, then b + a =…

For any real number a, a + 0 =0 + a = a.

2.7 (RPT)... Addition Property of Equality

For all real numbers a, b, and c, if a = b, ... then a + c = b +…

2.7 (RPT)... Subtraction Property of Equa…

For all real numbers a, b, and c, if a = b,... then a − c = b − c.

Constraint

Linear progression

Feasible region

Bounded

Inequality with limitations

Finding max/min value in a function representing a constraint

Where vertices meet in a solution

Enclosed area formed from the system of inequalities

Constraint

Inequality with limitations

Linear progression

Finding max/min value in a function representing a constraint

Normal Distribution

Normal Curve

Standard Normal Distribution

Z-score

A type of probability distribution in which the graph is a be…

The graph of a normal distribution that is bell-shaped and is…

The normal distribution with mean 0 and standard deviation 1

The z-value for a particular x-value which is the number of s…

Normal Distribution

A type of probability distribution in which the graph is a be…

Normal Curve

The graph of a normal distribution that is bell-shaped and is…

Consistent Independent

Consistent Dependent

Inconsistent

Feasible Region

A system of equations with one solution

A system of equations with an infinite number of solutions.

A system of equations that has no solutions

The area of intersection of a system of inequalities

Consistent Independent

A system of equations with one solution

Consistent Dependent

A system of equations with an infinite number of solutions.

powers of i, how to see what i to an e…

identity equation

conditional equation

inconsistent equation

i = i... i2= -1... i3= -i... i4= 1... * see how far a exponent is to a mu…

satisfied by every #

satisfied by at least 1 #

no solution

powers of i, how to see what i to an e…

i = i... i2= -1... i3= -i... i4= 1... * see how far a exponent is to a mu…

identity equation

satisfied by every #

Opposite

Whole numbers

Integers

Absolute Value

Numbers that are the same distance from 0 on a number line bu…

0,1,2,3,4

Are the numbers -3, -2, -1, 0, 1, 2, 3

a is the distance between a and 0 on a number line

Opposite

Numbers that are the same distance from 0 on a number line bu…

Whole numbers

0,1,2,3,4

Constraints

Feasible region

Bounded

Unbounded

The actual inequalities in a linear program.

The intersection of the graphs in linear programming.

When the constraints make a polygon, it is a bounded region.

When a region has a side that is open, therefore it is unboun…

Constraints

The actual inequalities in a linear program.

Feasible region

The intersection of the graphs in linear programming.