MA19.8A.28

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.28
Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically. [Algebra I with Probability, 26]

Unpacked Content

Knowledge

Students know:

Techniques to graph and create tables for exponential, linear, and quadratic functions.

Skills

Students are able to:

Accurately create graphs and tables for exponential, linear, and quadratic functions.
Use the graphs and tables to present a convincing argument that the exponential function eventually exceeds the linear and quadratic function.

Understanding

Students understand that:

Exponential functions grow at a faster rate than linear and quadratic functions after some point in their domain.

Vocabulary

Increasing exponentially
Increasing quadratically
Increasing linearly

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