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22 terms

Math 8 Chapters 2 & 3 Big Ideas in Learning

function

a special type of relation that pairs each input value with exactly one output value

domain

the set of all possible input values of the ordered pairs of a relation

range

the set of all possible output values of the ordered pairs of a relation

independent variable

represents the input of a function

dependent variable

represents the output of a function

discrete domain

a set of input values that consists of only certain number in an interval (ex: integers)

continuous domain

a set of input values that consists of all numbers in an interval (ex: real numbers)

linear function

a function whose graph is a line

non-linear functions

equation with a graph that is not a straight line

linear equation

An equation whose graph is a straight line.

solution to a linear equation

a line consisting of points on a graph that solve a linear equation

slope

the ratio the change of the vertical (y) coordinate to the change in the horizontal (x) coordinate.

x-intercept

the point where the graph of an equation crosses the x-axis

y-intercept

The point where the graph of an equation crosses the y-axis.

y-intercept

In a linear equation of the form y=mx+b, the constant b is the ___?.

slope

In a linear equation of the form y=mx+b, the constant m is the ___?

slope-intercept form

a linear equation written in the form y=mx+b where m is the slope and b is the y-intercept of the equation's graph

standard form of a linear equation

ax + by =c

quadrant

one of four regions created by the x-axis and y-axis in a coordinate plane

ordered pair

a pair of numbers that can be used to locate a point on a coordinate plane

origin

the point (0,0) where the x-axis and y-axis intersect on the coordinate plane

coordinate plane

a plane formed by the intersection of the x-axis and y-axis