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Algebra 2 Unit 2: Functions

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Section 1

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Positive Slope

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Algebra Math

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Mar 1, 2020

Cards (40)

Section 1

(40 cards)

Positive Slope

Front

Rises from left to right

Back

Function f(x)

Front

A relation for which each element of the domain corresponds to exactly one element of the range

Back

Greatest Integer Parent Graph

Front

Back

Point-Slope (gradient) Form

Front

Back

One-to-One Function

Front

A function in which every element of the range corresponds with exactly one element of the domain

Back

∪

Front

1) Union; used in "or" statements; 2) used in > or ≥ inequality solutions

Back

Zero Slope

Front

The slope of a horizontal line m=0

Back

Natural Numbers

Front

in IB N = {0, 1, 2, 3, 4, ...} in USA = {1,2,3...}

Back

Standard Form

Front

Ax+By=C, where A, B, and C are integers and A is not negative

Back

Integers

Front

Z = {...-3, -2, -1, 0, 1, 2, 3, ...}

Back

Undefined Slope

Front

The slope of a vertical line

Back

Slope-Intercept Form : Gradient-intercept form

Front

(in USA ) y =mx +b (in IB): y =mx +c

Back

Independent variable

Front

The variable that represents the input and causes the change in the dependent variable; x-axis label

Back

Rational Numbers

Front

Q : Numbers that can be written as the ratio of two integers; includes decimals that terminate or repeat

Back

dependent variable

Front

A variable (y) that depends on one or more other variables

Back

Perpendicular Lines

Front

Have opposite reciprocal slopes (gradients)

Back

Abscissa

Front

The x-value or first value in an ordered pair

Back

Asymptote (or jump)

Front

a graph is not defined at that point

Back

Relation

Front

a set of ordered pairs: { (1,4), ( 1,5), (4,5), (3,2)}

Back

Vertical Line Test

Front

A test use to determine if a relation is a function. A relation is a function if there are no vertical lines that intersect the graph at more than one point.

Back

Linear Parent Graph

Front

Back

Piecewise Function

Front

A function that uses different formulas for different parts of its domain.

Back

General Form

Front

Ax+By+C=0, where A, B, and C are integers and A is not negative

Back

Horizontal Line Test

Front

A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

Back

Absolute Value Parent Graph

Front

f(x) = | x |

Back

Parallel Lines

Front

Have equal slopes (gradients)

Back

"Included" symbols

Front

Brackets [ ] in interval notation, closed circles on a number line; used for ≤, or ≥ inequality solutions

Back

Slope Formula: Gradient Formula

Front

Back

Negative Slope

Front

Falls from left to right

Back

Midpoint Formula

Front

finds point halfway between endpoints

Back

Ordinate

Front

The y-value or second value in an ordered pair

Back

Inverse Function

Front

A function that "reverses" another function Think..."switch the x and y"

Back

Greatest Integer Function

Front

A step function written as f(x) = [x], where f(x) is the greatest integer less than or equal to x.

Back

∩

Front

1) Intersection; used in "and" statements; 2) used in < or ≤ inequality solutions

Back

Domain

Front

The set of inputs or x-values

Back

Range

Front

The set of outputs or y-values

Back

f⁻¹(x)

Front

Inverse function notation

Back

"Not included" symbols

Front

Parentheses ( ) in interval notation, open circles on a number line; used for <, or > inequality solutions

Back

Distance Formula

Front

finds the length of line segment

Back

Irrational Numbers

Front

Q' ( or I ) : Any number that is not a rational number, includes decimals that neither terminate nor repeat

Back