Algebra II Ch 2 Vocabulary
Absolute value function – is :”V” shaped f(x) = |x|
Axis of symmetry – a vertical line through the vertex of a graph that divides the function in half.
Boundary – the line of an equation in two variables that separates the coordinate plane into 2 half-planes.
Constant of variation – the ratio of all output-input pairs represented by the constant k.
Correlation – the strength of the relationship between data sets.
Correlation Coefficient – the variable r indicates the strength of correlation between data sets.
Dependent variable = the output of the function represented as f(x)
Direct variation - a function where x represents input values and y = kx, k≠0
Domain – the set of inputs of a relation, also called the x-coordinates.
Function - a relation in which each element of the domain corresponds with exactly one element of the range
Function rule – an equation that represents and output value in terms of an input value.
Function notation –a way of expressing a function rule: f(x) =
Greatest Integer Function – an example of a step function.
Independent variable - the input of the function represented as x.
Line of best fit – the trend line that gives the most accurate model of related data.
Linear function – a function whose graph is a line and can be represents with a linear equation
Linear inequality – a region of the coordinate plane bounded by an equation in two variables.
Parallel lines – have equal slopes m1 = m2
Parent function – is the simplest form in a set of functions that form a family.
Perpendicular lines – have slopes that are negative reciprocals of each other.
Piecewise function - has different rules for different parts of its domain.
Point-Slope form – Given point (x1, y1) and slope m, y – y1 = m(x-x1)
Range – the set of outputs of a relation, also called the y-coordinates of the ordered pairs.
Relation – a set of pairs of input and output values that can be expressed 4 different ways.
Scatter plot – a graph of data plotted as ordered pairs.
Slope – the ration of the vertical change to the horizontal change between two points, i.e. “rise over run”
Slope-intercept form – y = mx + b, where m is the slope and (0, b) is the y-intercept.
Standard form of a linear equation – Ax + By = C, where A, B, and C are real numbers and A and B are not both
zero.
Step function – pairs every number in an interval with a single value.
Test point – a point NOT located on the boundary line, and used to determine which half-plane of an inequality
to shade
Translation - A type of transformation of a parent graph horizontally or vertically or both without changing its
shape.
Vertex – the single minimum or maximum point of a graph.
Vertical compression – Reduces all y-values of a function by the same factor between 0 and 1.
Vertical-line test – if a vertical line passes through more than one point then the relation is NOT a function.
Vertical stretch – multiplies all y-values of a function by the same factor greater than 1.
X-intercept – where a line crosses the x-axis.
Y-intercept - where the line crosses the y-axis.