Algebra 2 vocab (Topic one)

domain

the set of all possible input values for a function

range

the set of all possible output values for a function

x-intercept

when the y-cordinate is equal to zero. Located at the point (x,0)

y-intercept

when the X-coordinate is equal to zero. Located at the point (0,y)

turning point

the point at which the function changes from increasing to decreasing or from decreasing to increasing

increasing

when the y-coordinate of the point is getting larger

decreasing

when the y-coordinate of the point is getting smaller

positive

when f(x) > 0 or above the x-axis

negative

when f(x) < 0 or below the x-axis

interval notation

a set of real numbers by the pair of values that are its left (lowest) and right (highest) boundaries using brackets and/or parentheses

set-builder notation

a verbal description of the elements of a set using inequalities to represent numbers

function

a relation in which each input has exactly one output

average rate of change

the slope of the line segment between points (x1, y1) and

(x2, y2) using the formula m = y2-y1/x2-x1

piecewise-defined function

a function that is defined by different rules for different intervals of the domain

absolute value function

a function of the form f(x) = mx + b + c, where m # 0

transformation

a change made to at least one of the values a, h, and k for the function y= af(x-h)+k. There are four tyes: translation, reflection, stretch, and compression

sequence

an ordered list of numbers that often forms a pattern

common difference

a fixed number that represents the gap between consecutive terms in an arithmetic sequence

explicit definition

a function rule, an = a1 + (n-1)d, that relates each

term of a sequence to the term number

recursive definition

a function rule that relates each term, an, of a arithmetic sequence after the first term to the previous term, an-1, using the common difference