# Study sets matching "honors algebra iii differental calculous"

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/

Algebraic Expression

Coefficient

Compound Inequality

Compound Statement

An expression that contains at least one variable.

A number that is multiplied by a variable.

Two inequalities that are combined into one statement by the w…

Two statements that are connected by the word and or or.

Algebraic Expression

An expression that contains at least one variable.

Coefficient

A number that is multiplied by a variable.

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

X-intercept

Slope-intercept form

Direct variation

Quadrant

The x-coordinate of a point where a graph crosses the x-axis

A linear equation written in the form y=mx+b where m is the sl…

The relationship of two variables x and y if there is a nonzer…

The four regions into which the coordinate plane is divided by…

X-intercept

The x-coordinate of a point where a graph crosses the x-axis

Slope-intercept form

A linear equation written in the form y=mx+b where m is the sl…

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…

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.

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.

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…

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.

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…

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…

System of two linear equations

Consistent

Inconsistent

Independent

In two variables x and y, also called a linear system, consist…

A system that has at least one solution

A system that has no solution

A consistent system that has exactly one solution

System of two linear equations

In two variables x and y, also called a linear system, consist…

Consistent

A system that has at least one solution

Arithmetic Sequence

Common Difference

Constant

Constant of Variation

A numerical pattern that increases or decreases at a constant…

The difference between the terms in an arithmetic sequence.

A monomial that is a real number.

The number K in equations of the form y=Kx

Arithmetic Sequence

A numerical pattern that increases or decreases at a constant…

Common Difference

The difference between the terms in an arithmetic sequence.

Relation

Function

Input

Output

A set of ordered pairs. Inputs can have different outputs (1 t…

A relation where every input has ONLY 1 unique output, but dif…

X, domain, independent variables

Y, range, dependent variables

Relation

A set of ordered pairs. Inputs can have different outputs (1 t…

Function

A relation where every input has ONLY 1 unique output, but dif…

terminating decimal

repeating decimal

bar notation

rational number

when the division ends with a remainder of zero

when the division repeats a pattern without end

a bar that is placed over the digit(s) that repeat

any number that can be written as a fraction (ratio)

terminating decimal

when the division ends with a remainder of zero

repeating decimal

when the division repeats a pattern without end