Vocabulary
Representations of Functions
Writing and Evaluating Function Rules
Graphing Functions Rules
Continuous/Discrete/Domain/Range
100
function
What is the name of a relationship that pairs one input value with exactly one output value?
100
make a table
What is a good way to keep up with inputs and outputs of a function and stay organized?
100
Relate (How are the variables related?)
What is the first step of writing a function rule?
100
nonlinear function
What is the name of a function whose points are not in a straight line?
100
continuous graph
What is the name of a graph that is unbroken?
200
dependent variable
What is the name of the variable that changes in response to another variable, or in other words, depends on the other variable?
200
do the vertical line test
What is the easiest way to tell whether a graph is a function or not?
200
Define (your variables)
What is the very important second step in writing a function rule?
200
make a table of values
What is the first step of graphing a function rule like the following: y = -2x + 1?
200
domain
What is the name of the set of x-coordinates of a relation?
300
linear function
What is the name of a function whose graph is a nonvertical line or part of a nonvertical line?
300
mapping diagram
What is the name of the way to represent a function that involves two groupings and arrows going from the input to the output?
300
Write (the function rule using the relationship you've made and the variables you've defined)
What is the third step in writing a function rule?
300
When our graph should be unbroken; When the domain is something measured; When decimals and fractions make sense
For which situation should we use a continuous graph?
300
discrete graph
What is the name of a graph composed of distinct, isolated points?
400
function notation
What is the name of the following way of writing a function rule: f(x) = x + 2?
400
You can check to see if there is more than one input value (x) going to more than one output value. More than one input (x) value is a sign that you do not have a function.
What is a way to tell whether the relation in a table is a function or not a function?
400
z = 2y + 6
What is the function rule for the following:z is 6 more than twice y ?
400
When we want isolated points; When the domain is something we can measure; When fraction and decimal values don't make sense
For which situation should we use a discrete graph?
400
range
What is the name of the y-coordinates of a relation?
500
vertical line test
What is the name of a way that analyzes the graph of a relation to decide if the relation is a function?
500
nonlinear; a parabola; a curve
What is the graph of the following function going to look like: f(x) = x^2 ? (this means x squared)
500
f = 10m + 4.75
What is the function rule for the following situation: The total fees, f, of a book club membership are $10 per month and a one-time adminstrative fee of $4.75?
500
A continuous graph like a "v" shape
What is the graph of an absolute value function like y = |x| going to look like?
500
all real numbers
What is the domain and range for the following function: f(x) = -2x + 3 ?
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