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Honors Algebra 2 Unit 2 - Linear Equations and Functions

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Section 1

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Absolute Value Function

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Algebra Math

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Mar 1, 2020

Cards (39)

Section 1

(39 cards)

Absolute Value Function

Front

A function written as f(x) = |x|, in which f(x) ≥ 0 for all values of x.

Back

Slope

Front

The ratio of the vertical change to the horizontal change, if the line is not vertical.

Back

Best-Fitting Line

Front

The line that lies as close as possible to all the data points.

Back

Transformation

Front

Changes a graphs size, shape, position, or orientation.

Back

Reflection

Front

A transformation that "flips" a figure over a mirror or reflection line.

Back

Direct Variation

Front

y=ax, where a is not zero

Back

Continuous Function

Front

The graph of a continuous function consists of connected, or unbroken, points.

Back

Linear Function

Front

a function that be written in the form y=mx+b, where m and b are constants.

Back

Parallel Lines

Front

Lines that have the same slope.

Back

Domain

Front

The set of input values.

Back

Equation in Two variables

Front

An equation that has two variables, one dependent and one independent.

Back

Horizontal Lines

Front

The graph of y=c is the horizontal line through (0,c)

Back

Linear Inequality in Two Variables

Front

An inequality written in the form ax + by < c, ax + by ≤ c, ax + by > c, or ax + by ≥ c, where a, b, and c are real numbers

Back

Function Notation

Front

Replacing the dependent variable y with f(x), or similar notation.

Back

Scatter Plot

Front

a graph of set data points.

Back

Range

Front

The set of output values.

Back

Positive Correlation

Front

y tends to increase as x increases.

Back

Independent Variable

Front

The input variable.

Back

Constant of Variation

Front

The non-zero constant (a) in a direct variation equation.

Back

Solution of an Equation

Front

An ordered pair, that when substituted into the equation results in a true statement.

Back

Graph of an Equation in Two Variables

Front

The set of all points (x,y) that represent solutions of the equation.

Back

Parent Function

Front

The most basic function in a family of functions.

Back

Dependent Variable

Front

One whose value depends on the value of the input variable.

Back

Graph of an Inequality in Two Variables

Front

In a coordinate plane, the set of points that represent all solutions of the inequality.

Back

Solution of an Inequality in Two Variables

Front

All values (x, y) which, when substituted for the variable(s) in an inequality, make the inequality a true statement.

Back

y-intercept

Front

The y coordinate of the point where the graph intersects the y-axis.

Back

Vertical Lines

Front

The graph of x=c is the vertical line through (c,0)

Back

x-intercept

Front

The x coordinate of the point where the graph intersects the x-axis.

Back

Negative Correlation

Front

y tends to decrease as x increases.

Back

No Correlation

Front

There is no obvious pattern.

Back

Function

Front

A relation for which each input has exactly one output.

Back

Translation

Front

A shift to the graph, either horizontally, vertically or both. This does not change the graph's size, shape of orientation.

Back

Discrete Function

Front

The graph of a discrete function consists of separate, or broken, points.

Back

Point-Slope Form

Front

Back

Standard Form

Front

Ax+By = C, where A and B are not both zero.

Back

Perpendicular Lines

Front

Lines whose slopes are negative reciprocals of each other.

Back

Relation

Front

A mapping or pairing of input values with output values.

Back

Vertical Line Test

Front

A method to determine graphically if a relation is a function.

Back

Slope-Intercept Form

Front

y=mx+b

Back