MA19.A1.26
Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.
Use graphs and tables to show that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.
Unpacked Content
UP:MA19.A1.26
Vocabulary
- Increasing exponentially
- Increasing linearly
- Polynomial functions
Knowledge
Students know:
- Techniques to graph and create tables for exponential and polynomial functions.
Skills
Students are able to:
- Accurately create graphs and tables for exponential and polynomial functions.
- Use the graphs and tables to present a convincing argument that the exponential function eventually exceeds the polynomial function.
Understanding
Students understand that:
- Exponential functions grow at a faster rate than polynomial functions after some point in their domain.
