Lesson 4: 2-4 Sketching Graphs of Functions

What are some key features that you can use to help you sketch a graph?
What is the difference between a linear function and a nonlinear function?
What are some different types of nonlinear functions that you have seen?
How can you use intercepts to sketch the graph of a linear function?

A.CED.2 Create equations in two or more variable to represent relationships between quantities; graph equations on coordinate axes with labels and scales
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.

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The graph of a function exhibits several key features. These include x and y intercepts, maximum and minimum points, intervals on which the function is increasing or decreeing, intervals on which the function is positive or negative, symmetry, and end behavior. Given one or more key features, it is possible to sketch a graph that exhibits the feature. In many cases, more than one graph may be possible.

A group of hikers walk steadily uphill, then stop for lunch at a vista point. After lunch, they hike back downhill. You can use this information to sketch a graph of the hikers elevation as a function of time.

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Have them work in small groups to create their own sets of key features for linear and nonlinear functions. Have students exchange the key features and sketch graphs of each others' functions. Ask students to offer each other feedback for improvement.

Use McGraw Hill Resources

Use McGraw Hill Resources