September 2016 Page 48 of 97
College- and Career-Readiness Standards for Mathematics
Interpreting Functions (F-IF)
Understand the concept of a function and use function notation
F-IF.2
Use function notation,
evaluate functions for
inputs in their
domains, and interpret
statements that use
function notation in
terms of a context.
Desired Student Performance
● How to simplify expressions
involving rational numbers
and coefficients.
● How to generate data by
evaluating expressions for
different values of a variable
and organize the data.
● How to justify conjectures
and patterns using numerical
expressions.
● How to translate verbal
phrases into mathematical
expressions.
● How to generalize patterns
using words and algebraic
methods.
A student should understand
● A function is a rule that assigns
each element from a set of
inputs to exactly one element
from a set of outputs.
● The graph of the function, f, is
the graph of the equation y=
f(x).
● How to recognize different
ways to define and express a
function.
● How to work with functions
expressed in various form (e.g.,
f(x) notation, tables, and
graphs.
● How to use function notation to
evaluate functions for given
inputs in the domain, including
combinations and compositions
of functions.
A student should be able to do
● Use function notation to express
relationships between contextual
variables.
● Input a value from the domain of
a function and evaluate.
● Create contextual examples that
can be modeled by linear or
exponential functions.
● Use the definition of a function to
determine whether a relationship
is a function given a table,
graph, mapping, or words.
● Given the function, f(x), identify x
as an element of the domain, the
input, and (f) x is an element in
the range, the output.
● Write a relation in function
notation.
● Find a rule to describe a set of