# Study sets matching "honors algebra iii differental calculous"

Study sets

Diagrams

Classes

Users

describe the parent function of a linea…

describe the parent function of a absol…

what is the direct variation formula

how do you find x intercept and y inter…

y=x

y= /x/

y=kx or k- y/x

set the other to zero. For example if trying to find x interce…

describe the parent function of a linea…

y=x

describe the parent function of a absol…

y= /x/

Solution

Inconsistant

Consistant

Consistent and Independent

The ordered pair that satisfies each equation in the system

A system with no solution, if the lines are parallel

A system with at least one solution

A system with exactly one solution

Solution

The ordered pair that satisfies each equation in the system

Inconsistant

A system with no solution, if the lines are parallel

Addition Property of Equality

Subtraction Property of Equality

Equivilent Equations

Inverse Opperations

If a = b then a + c = b + c

If a = b then a - c = b - c

Equations having same solution, set over a given domain

Opperations that "undo" each other

Addition Property of Equality

If a = b then a + c = b + c

Subtraction Property of Equality

If a = b then a - c = b - c

Polynomial Function

End Behavior

Synthetic Division

factor theorum

A function that is represented by a polynomial function.

The behavior of the graph as x approaches positive infinity or…

A method used to divide a polynomial by a binomial.

the binomial x-r is a factor of the polynomial P(x) if only P(…

Polynomial Function

A function that is represented by a polynomial function.

End Behavior

The behavior of the graph as x approaches positive infinity or…

polynomial

standard form of a polynomial

constant

linear

an expression consisting of the sum of two or more terms each…

in order to write any polynomial in this form, you look at the…

a fixed value Ex. 6

consisting of, involving, or described by terms of first degree

polynomial

an expression consisting of the sum of two or more terms each…

standard form of a polynomial

in order to write any polynomial in this form, you look at the…

parent function

transformation

translation

reflection

The most basic function in a family. Functions in the same fam…

Changes the size, shape, position, or orientation of a graph.

A transformation that shifts a graph horizontally and/or verti…

A transformation that flips a graph over a line called the lin…

parent function

The most basic function in a family. Functions in the same fam…

transformation

Changes the size, shape, position, or orientation of a graph.

line graph

stem and leaf plot

domain

range

graph that is used to view change over time

best graph to organize sets of data

the set of all x-values in a relation

the set of all y-values in a relation

line graph

graph that is used to view change over time

stem and leaf plot

best graph to organize sets of data

Equation for arithmetic sequence

what makes an equation linear?

What is standard form?

When solving for the x intercept what d…

an = a + (n - 1) d... a = first term in sequence... d = common diffe…

No exponents higher than 1 ... No multiplication or division of v…

Ax + By = C

y = 0

Equation for arithmetic sequence

an = a + (n - 1) d... a = first term in sequence... d = common diffe…

what makes an equation linear?

No exponents higher than 1 ... No multiplication or division of v…

Solution of a System

Linear System

System of Equations

Inconsistent

A set of values for the variables that makes all the equations…

A set that consists of linear equations.

A set or two or more equations

Solution of a System

A set of values for the variables that makes all the equations…

Linear System

A set that consists of linear equations.

absolute value

algebraic expression

like terms

literal equation

Is its distance from zero on the number line

A mathematical phrase that contains one or more variables

Have the same variables raised to the same power

Is an equation that uses more than one letter as a variable

absolute value

Is its distance from zero on the number line

algebraic expression

A mathematical phrase that contains one or more variables

identity

ratio

proportion

extremes

an equation that is true for every value of the variable

a comparison of two numbers by division

an equation of the form a/b=c/d

in the ratio a/b=c/d, a and d are the extremes

identity

an equation that is true for every value of the variable

ratio

a comparison of two numbers by division

Lesson 1 Objectives

explicit formula

recursive formula

sequence

1. Identify mathematical patterns found in a sequence... 2. Use a…

A formula that expresses the nth term of a sequence in terms o…

A formula that defines the terms in a sequence by relating eac…

An ordered list of numbers.

Lesson 1 Objectives

1. Identify mathematical patterns found in a sequence... 2. Use a…

explicit formula

A formula that expresses the nth term of a sequence in terms o…

how can you tell whether 2 equations ar…

how can you tell whether 2 equations ar…

what is slope- intercept form?

what is point- slope form?

they have the same slope

their slopes are opp. reciprocal.

how can you tell whether 2 equations ar…

they have the same slope

how can you tell whether 2 equations ar…

their slopes are opp. reciprocal.

Inequality

Roster Form

set-builder notation

Universal set

Contains any combination of numbers, variables, operations

Lists the elements of a set in braces

Describes the properties an element must have to be included i…

The largest set

Inequality

Contains any combination of numbers, variables, operations

Roster Form

Lists the elements of a set in braces

Inverse Operations

Equivalent Equations

Addition Property of Equality

Subtraction Property of Equality

Two operations that undo each other, such as addition and subt…

Equations that have the same solutions.

Adding the same number to each side of an equation produces an…

Subtracting the same number from each side of an equation prod…

Inverse Operations

Two operations that undo each other, such as addition and subt…

Equivalent Equations

Equations that have the same solutions.

Equivalent equations

Inverse operation

Solution step

Linear equation in one variable

Equations with the same solutions as the original equation are…

Operations that undo each other such as addition and subtracti…

The result of applying a transformation to an equation when so…

An equation in which the variable is raised to the first power…

Equivalent equations

Equations with the same solutions as the original equation are…

Inverse operation

Operations that undo each other such as addition and subtracti…

Relation

Domain

Rnage

Function

A pair of data w/ no special rules - set of ordered pairs

Set of all inputs, independent values

Set of all outputs, dependent values

A relation for which every value from the set of allowable inp…

Relation

A pair of data w/ no special rules - set of ordered pairs

Domain

Set of all inputs, independent values

Family of Functions

Linear Functions

Parameter

Parent Function

A set of functions whose graphs have basic characteristics in…

A function that can be written in the form y=mx+b, where x is…

One of the constants in a function or equation that may be cha…

The most basic function of a family of functions, or the origi…

Family of Functions

A set of functions whose graphs have basic characteristics in…

Linear Functions

A function that can be written in the form y=mx+b, where x is…

independent system

dependent system

inconsistent system

≤ or ≥ will be

ONLY one solution

infinitely many solutions... THEY ARE THE SAME EXACT LINE

no solution... parallel lines... slope is the same

solid

independent system

ONLY one solution

dependent system

infinitely many solutions... THEY ARE THE SAME EXACT LINE