Learning Resources

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Outcomes

In this lesson you will

  • examine the exponential function when
  • examine the extreme left of the exponential function where x < 0 and x is an integer.

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:

  • calculations using exponents
  • graphing technology