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Algebra 2 - Chapter 2

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Section 1

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rate of change

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Algebra Math

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Mar 1, 2020

Cards (46)

Section 1

(46 cards)

rate of change

Front

How much a quantity changes on average, relative to the change in another quantity, over time.

Back

vertical line test

Front

If no vertical line intersects a graph in more than one point, then the graph represents a function.

Back

reflection

Front

A transformation in which every point of a figure is mapped to a corresponding image across a line of symmetry.

Back

dilation

Front

A transformation in which a geometric figure is enlarged or reduced.

Back

quadratic function

Front

A function described by the equation f(x) = ax2 + bx + c, where a is not equal to 0.

Back

linear equation

Front

An equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant.

Back

translation

Front

A figure is moved from one location to another on the coordinate plane without changing its size, shape, or orientation.

Back

absolute value function

Front

A function written as f(x) = |x|, where f(x) = x if x > 0, 0 of x = 0, and -x = x < 0, for all values of x.

Back

linear function

Front

A function whose ordered pairs satisfy a linear equation.

Back

scatterplot

Front

A set of data graphed as ordered pairs in a coordinate plane.

Back

independent variable

Front

In a function, the variable, usually x, whose values make up the domain.

Back

boundary

Front

A line or curve that separates the coordinate plane into two regions.

Back

y-intercept

Front

The y-coordinate of the point at which a graph crosses the y-axis.

Back

line of reflection

Front

The line over which a reflection flips a figure.

Back

one-to-one function

Front

A function where each element of the range is paired with exactly one element of the domain.

Back

piecewise-defined function

Front

A function that is written using two or more expressions.

Back

linear inequality

Front

An inequality that describes a half-plane with a boundary that is a straight line.

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

parent graph

Front

The simplest of graphs in a family.

Back

parallel lines

Front

Nonvertical coplanar lines with the same slope.

Back

identity function

Front

The function f(x) = x.

Back

parent function

Front

The simplest, most general function in a family of functions.

Back

onto function

Front

Each element of the range corresponds to an element of the domain.

Back

standard form

Front

A linear equation written in the form Ax + By = C, where A, B, and C are integers whose greatest common factor is 1, A greater than or equal to 0, and A and B are both not zero.

Back

line of fit

Front

A line that closely approximates a set of data.

Back

dependent variable

Front

The variable in a function, usually y, whose value depends on the independent variable, usually x. Its values make up the range.

Back

piecewise-linear function

Front

A function in which the equation for each interval is linear.

Back

prediction equation

Front

An equation suggested by the points of a scatter plot that is used to predict other points.

Back

negative correlation

Front

When the values in a scatter plot are closely linked in a negative manner.

Back

bivariate data

Front

Data consisting of pairs of values.

Back

discrete function

Front

A function in which the domain is a set of individual points.

Back

constant function

Front

A linear function of the form f(x) = b.

Back

dot plot

Front

Two sets of data plotted as ordered pairs in a coordinate plane.

Back

slope-intercept form

Front

The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Back

x-intercept

Front

The x-coordinate of the point at which a graph crosses the x-axis.

Back

regression line

Front

A line of best fit.

Back

function notation

Front

An equation of y in terms of x can be rewritten so that y = f(x). For example y = 2X + 1 can be written as f(x) = 2x + 1.

Back

continuous function

Front

A function that can be graphed with a line or a smooth curve.

Back

positive correlation

Front

When the values in a scatter plot are closely linked in a positive manner.

Back

point-slope form

Front

An equation in the form y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope of the line.

Back

step function

Front

A function whose graph is a series of line segments.

Back

slope

Front

The ratio of the change in y-coordinates to the change in x-coordinates.

Back

family of graphs

Front

A group of graphs that displays one or more similar characteristics.

Back

correlation coefficient

Front

A measure that shows how well data are modeled by a linear equation.

Back

linear relations

Front

A relation that has straight line graphs.

Back

perpendicular

Front

lines In a plane, any two oblique lines, the product of whose slopes is -1.

Back