In this lesson students determine if a given relation or graph is a function. Students watch a video tutorial, examine guided notes and attempt practice problems.
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This lesson describes and demonstrates composition of functions. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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Video solving for the domain and range of a specific function defined verbally. Equation for function is found before defining the domain and range. [3:36]
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This concept introduces how to find the domain and range of relations.
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Recognize functions by understanding the terms relation, range and domain.
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Identify the domain and range of a simple linear function
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Students learn to graph points and functions in the coordinate plane. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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This section will explore how to determine the domain and range of a function as well as to find the restrictions for the domain and range.
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Evaluate a function rule by finding outputs for a given input
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Sal introduces the concept of "range" of a function and gives examples for functions and their ranges. [6:38]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
These images from the Smithsonian Institution depict Nancy Knowlton's work with snapping shrimp in Panama. Knowlton found that the closing of the isthmus -- dividing the Pacific Ocean from the Caribbean -- resulted in new species of shrimp.
Learners examine a table of domain and range for basic functions. The tutorial includes the domain and range of algebraic, trigonometric, inverse trigonometric, hyperbolic, and logarithmic functions.
There's more to a fireworks display than meets the eye. This interactive activity from the NOVA Web site looks at the technology behind each burst of light.
This video segment from NOVA: "Animal Imposters" shows the lightning-fast strike of the anglerfish. [1:30]
See the many birds that spend their summer in the Arctic in this video segment from Nature. [2:52]
This video segment from Wild TV takes a closer look at backyard bugs, their habitat and characteristics. [2:48]
In this video segment from Nature, researchers study pandas in an effort to halt their decline in population. [5:37]
In this video segment from Nature, learn about the problems bears are creating on ranch land surrounding Yellowstone National Park. [3:01]
This video segment from NOVA: "The Mystery of Animal Pathfinders" explores honeybee communication and navigation. [4:45]
Biology 2e is designed to cover the scope and sequence requirements of a typical two-semester biology course for science majors. The text provides comprehensive coverage of foundational research and core biology concepts through an evolutionary lens. Biology includes rich features that engage students in scientific inquiry, highlight careers in the biological sciences, and offer everyday applications. The book also includes various types of practice and homework questions that help students understand—and apply—key concepts. The 2nd edition has been revised to incorporate clearer, more current, and more dynamic explanations, while maintaining the same organization as the first edition. Art and illustrations have been substantially improved, and the textbook features additional assessments and related resources.