Learning Resources

Home »  » Courses » Mathematics » Advanced Mathematics 3205 (delisted) » Unit 03 » Set 01 ILO 05 » Get Ready

Outcomes

In this lesson you will

  • further analyze exponential functions, focusing on growth rates along the curve
  • examine and compare the growth of two bacteria populations before and after the formal study of the population began

By the end of this section students will be able to:

  • model real-world phenomena using exponential functions
  • sketch graphs from descriptions, tables, and collected data
  • demonstrate an intuitive understanding of the recursive nature of exponential growth
  • demonstrate an understanding of patterns that are arithmetic, power, and geometric, and relate them to corresponding functions
  • analyze tables and graphs to distinguish between linear, quadratic, and exponential relationships
  • describe and interpret domains and ranges using set notation
  • analyze and describe the characteristics of exponential and logarithmic functions
  • demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
  • apply real number exponents in expressions and equations

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • rate of change
  • focal points
  • negative exponents