# Study sets matching "honors algebra iii differental calculous"

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inverse operations

equivalent equations

identity

ratio

2 operations that undo each other

equations with the same solution

equation that is true for all values of the variable

A:B, A/B, or A to B, a comparison

inverse operations

2 operations that undo each other

equivalent equations

equations with the same solution

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

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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…

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.

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

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

Completing the square

Complex conjugates

Complex number

Constant term

A process used to make a quadratic expression into a pergevt s…

Two complex number of the form a+bi and a-bi

Any number that can be written innthe form a+bi, where a and b…

In f(x)= ax^2 + bx + c, c is the ___________

Completing the square

A process used to make a quadratic expression into a pergevt s…

Complex conjugates

Two complex number of the form a+bi and a-bi

Binomial Theorem

Complex Conjuate

Complex Numbers

Conjugate Zeros Theorem

For any binomial (a+b) and any positive integer n, ... (a+b)^n =…

Complex numbers with the same digits, but different signs.... Exa…

Includes imaginary numbers, real numbers, irrational numbers,…

If P(x) is a polynomial with real coefficients and if a +bi (w…

Binomial Theorem

For any binomial (a+b) and any positive integer n, ... (a+b)^n =…

Complex Conjuate

Complex numbers with the same digits, but different signs.... Exa…

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

continuous function

discrete function

family of function

parameter

a function graphed with a line or smooth curve

a function of points that are not connected

a set of functions whose graph have basic characteristics in c…

a characteristic or constant factor

continuous function

a function graphed with a line or smooth curve

discrete function

a function of points that are not connected

Data

Units

Categorical variable

Quantitative variable

Systematically recorded information, whether numbers of labels…

A quantity or amount adopted as a standard of measurement, suc…

A variable that names categories (whether with words or numera…

A variable in which the numbers act as numerical values. Alway…

Data

Systematically recorded information, whether numbers of labels…

Units

A quantity or amount adopted as a standard of measurement, suc…

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

System of Two Linear Equations

Solution

Consistent System

Inconsistent Solution

Consists of two equations that can be written as:... Ax + By = C…

An ordered pair (x,y) that satisfies each equation in the syst…

A system that has at least one solution.

A system that has no solutions.

System of Two Linear Equations

Consists of two equations that can be written as:... Ax + By = C…

Solution

An ordered pair (x,y) that satisfies each equation in the syst…

Transformation

Translation

Dialation

Reflection

Changes the position or size of a figure.

Moves a figure up, down, left or right.

Makes the graph narrower than the parent graph or wider than t…

Flips a figure across a line.

Transformation

Changes the position or size of a figure.

Translation

Moves a figure up, down, left or right.

Inequality

Compound inequality

Solution of an inequality

Open circle

A statement that compares two quantities using <, >, ≤,≥, or ≠

Two or more inequalities joined together by "and" or "or"

The values of the variable that make the inequality true

An unshaded circle on (< or >)/means the number is not a part…

Inequality

A statement that compares two quantities using <, >, ≤,≥, or ≠

Compound inequality

Two or more inequalities joined together by "and" or "or"

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Polar Coordinates

In general

Converting to cartesian coordinate syst…

Cartesian to polar?

(r,θ) (distance, rotation)

(r, theta) equals (r, theta + 2•pi•k) equals (-r, theta + pi+…

Y= rsin(theta), X= rcos(theta)

r^2= x^2 + y^2

Polar Coordinates

(r,θ) (distance, rotation)

In general

(r, theta) equals (r, theta + 2•pi•k) equals (-r, theta + pi+…

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.