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Applications of Functions: Interpreting Graphs WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: HSF.IF.B.4
CCSS Description: 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.
Applications of Functions: Interpreting Graphs WORKSHEET DESCRIPTION
Students will interpret various forms of real life graphs throughout this worksheet. Students will start by matching different graphs to scenarios that they could represent in section A. Graphs include straight lines and increasing and decreasing curves, starting from the origin or otherwise. Scenarios include “Unemployment rose slowly for 5 years, but now it is rising dramatically” and “The temperature during the 24 hours of a summer's day.”
In section B, students have four different depth and time graphs of bathtubs being filled to interpret. Then in section C, learners will sketch graphs to illustrate four different situations. Axes are pre drawn for your students.
