Algebra 2 Topic 1 Vocabulary

set builder notation

a concise way of writing a solution set ex: {t|t<17}

interval notation

beginning and ending numbers of the interval using square and round brackets

zeros of the function

the x-intercepts

average rate of change

f(b) - f(a) / b - a; also known as the slope between the points (a,f(a)) and (b,f(b))

translation

a type of transformation of a function; one that shifts each point on a graph the same distance and direction

transformation

a movement of a geometric figure or function

reflection

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

stretch (dilation)

a transformation that increases the distance between the points of a graph and a given line by the same factor

compression (dilation)

a transformation that decreases the distance between the points of a graph and a given line by the same factor

piecewise defined function

a function defined by two or more equations over a specified domain

step function

a function with a graph that is a series of horizontal line segments

inconsistent system

a system where there is no solution

system of linear equations

a system of equations in which all of the equations are linear

system of linear inequalities

two or more linear inequalities containing the same variables