Chapter 3 Flashcards
absolute value function
A function that contains an absolute value
expression (graph shaped like a “v”)
constant function
A linear equation written in the form y = 0x + b or y = b
continuous domain
A set of input values that consist of all numbers in
an interval
dependent variable
The variable that represents output values of a
function
discrete domain
A set of input values that consists of only certain
numbers in an interval
domain
The set of all possible input values of a function
family of functions
A group of functions with similar characteristics
function
A relation that pairs each input with exactly one
output
function notation
Another name for y denoted as f (x) and read as
“the value of f at x” or “f of x”
horizontal shrink
A transformation that causes the graph of a
function to shrink toward the y-axis when all the
x-coordinates are multiplied
by a factor a, where a > 1
horizontal stretch
A transformation that causes the graph of a
function to stretch away from the y-axis when all
the x-coordinates are multiplied by a factor a,
where a
independent variable
The variable that represents the input values of a
function
linear equation in two
variables
An equation that can be written in the form
y = mx + b , where m and b are constants
linear function
A function whose graph is a nonvertical line
nonlinear function
A function that does not have a constant rate of
change and whose graph is not a line
parent function
The most basic function in a family of functions
For linear functions, the parent function is
f (x) = x
range of a function
The set of all possible output values of a function
reflection
A transformation that flips a graph over a line
called the line of reflection
relation
A pairing of inputs with outputs
rise
The change in y between any two points on a line
run
The change in x between any two points on a line
slope
The rate of change between any two points on a line
slope-intercept form
A linear equation written in the form y = mx + b
solution of a linear equation
in two variables
An ordered pair ( , ) x y that makes an equation true
standard form of a linear
equation
A linear equation written in the form
Ax + By = C, where A, B, and C are real
numbers and A and B are not both zero
transformation
A change in the size, shape, position, or orientation
of a graph
translation
A transformation that shifts a graph horizontally
and/or vertically but does not change the size,
shape, or orientation of the graph
vertex
The point where a graph changes direction
vertex form of an absolute
value function
An absolute value function written in the form
f (x) = a | x - h | + k, where a does not = 0
vertical shrink
A transformation that causes the graph of a
function to shrink toward the x-axis when all the
y-coordinates are multiplied by a factor a, where a
vertical stretch
A transformation that causes the graph of a
function to stretch away from the x-axis when all
the y-coordinates are multiplied by a factor a,
where a > 1
x-intercept
The x-coordinate of a point where the graph
crosses the x-axis
y-intercept
The y-coordinate of a point where the graph
crosses the y-axis
