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 $x$-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