Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
III.F.IF.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity
III.F.IF.8
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.