MCC8.F.1 Understand
that a function is a rule that assigns to each input exactly one output. The
graph of a function is the set of ordered pairs consisting of an input and the
corresponding output.
Identify functions from multiple representations: sets of ordered pairs, mapping diagrams, tables, graphs
MCC8.F.2 Compare properties
of two functions each represented in a different way (algebraically,
graphically, numerically in tables, or by verbal descriptions).
Find output values for multiple representations of functions. Determine which would be the best value for a specific situation.
MCC8.F.3 Interpret the
equation 𝑦 = 𝑚𝑥+ 𝑏 as defining a linear function, whose graph is
a straight line; give examples of functions that are not linear.
Write equations for linear functions in slope intercept form from multiple representations.
MCC8.F.4 Construct a
function to model a linear relationship between two quantities. Determine the
rate of change and initial value of the function from a description of a
relationship or from two (𝑥,𝑦) values, including reading these from a table
or from a graph. Interpret the rate of change and initial value of a linear
function in terms of the situation it models, and in terms of its graph or a
table of values.
MCC8.F.5 Describe
qualitatively the functional relationship between two quantities by analyzing a
graph (e.g., where the function is increasing or decreasing, linear or
nonlinear). Sketch a graph that exhibits the qualitative features of a function
that has been described verbally.