F-IF.4

Interpret functions that arise in applications in terms of the context.

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.*

Key features; intercepts, intervals, max/min, symmetry, end behavior, periodicity

Function, independent, dependent, increasing/decreasing, positive/negative

Interpret key features of graphs (i.e. see vocabulary)

Interpret tables in terms of quantities.

Sketch graphs showing graphing key features given verbal descriptions.

Elaine is in the business of repairing home computers. She charges a base fee of $45 per visit and $25 per hour for labor. The total cost c(x) for a home visit and x hours of labor is modeled by the function c(x) = 45 + 25x. Graph the function and describe the contextual meaning of the intercepts.

M(24 – 27) GRE 503 Match linear graphs with their equations.