In this lesson, you learned how to:
- Explain using graphs, tables, or calculations that exponential functions eventually grow faster than quadratic functions.
Here are the activities that helped you reach those goals:
- 7.4.1: Comparing Expressions
- In this activity, you compared exponential expressions and ordered them from least to greatest by reasoning about the base numbers and exponents.
- 7.4.2: Exploring Linear, Exponential, and Quadratic Growth
- In this activity, you examined patterns and then determined expressions that represented the patterns. You then determined if each expression was linear, exponential, or quadratic.
- 7.4.2: Self Check
- 7.4.2: Additional Resources
- 7.4.3: Comparing Exponential and Quadratic Functions
- In this activity, you compared an exponential function and a quadratic function through their tables of values and graphs. You then determined which function had a larger value as the -values increased.
- 7.4.3: Self Check
- 7.4.3: Additional Resources
- 7.4.4: Comparing Exponential and Quadratic Expressions
- In this activity, you determined the point at which a particular exponential function is always greater than a particular quadratic function.
After these activities, you completed the following practice:
- 7.4.5: Practice
Checking In
On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?
Nice reflection! You learn more when you take the time to reflect on your thinking.