Ch 2 Vocab Flashcards
each element of the domain pairs to exactly one unique element of the range
one to one function
a relation in which each element of the domain is paired with exactly one element in the range
function
each element of the range corresponds to an element of the domain
onto function
each element of the domain pairs to exactly one unique element of the range, and each element in the range corresponds to a unique element of the domain
both one to one and onto
a relation in which the domain is a set of individual points
discrete relation
the domain of a relation having an infinite number of elements and the relation can be graphed as a line or smooth curve
continuous relation
the variable, usually x, with values making up the domain is called this
independent variable
the variable, often y, is called this because its value depends on x
dependent variable
equations that represent functions are often written in this form
function notation
relations that have straight line graphs
linear relation
relations that aren’t linear
nonlinear relation
Has no operations other than addition, subtraction, and multiplication of a variable by a constant. The variables may not be multiplied together, appear in the denominator, or variables with exponents greater than one
linear equation
the y coordinate of the point at which a graph crosses the y axis
y intercept
the x coordinate of the point at which a graph crosses the x axis
x intercept
ratio that compares how much one quantity changes, on average, relative to the change in another quantity
rate of change
ratio of the change in the y coordinates to the corresponding change in the x coordinates
slope
y=mx+b
slope-intercept form
y-y1=m(x-x1)
point-slope form
a group of graphs that display one or more similar characteristics
family of graphs
graph of the simplest of the graphs in a family
parent graph
moves a graph up, down, left, or right
translation
flips a figure over a line called the line of reflection
reflection
shrinks or enlarges figure proportionally
dilation
Resembles a linear equation equal, but with an inequality symbol instead of an equals symbol
Linear inequality