1. Lesson 1

1.13. Lesson 1 Summary

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Lesson 1 Summary

 

In this lesson you explored exponential functions and how they can be used to describe the growth or decay of quantities.

 

The characteristics of all exponential functions of the form y = a(b)x, b > 0, b ≠ 1 are as follows:

  • When b > 1, the graph increases from quadrant II to quadrant I.

     
    A graph of an exponential growth function.
    From PRINCIPLES OF MATHEMATICS 12 by Canavan-McGrath et al. Copyright Nelson Education Ltd. Reprinted with permission.


  • When 0 < b < 1, the graph decreases from quadrant II to quadrant I.

     
    A graph of an exponential decay function.
    From PRINCIPLES OF MATHEMATICS 12 by Canavan-McGrath et al. Copyright Nelson Education Ltd. Reprinted with permission.


  • The domain is {x|x ∈ R}.
  • The range is {y|y > 0, y ∈ R}.
  • There is no x-intercept.
  • The y-intercept is equal to the a-value.
In the next lesson you will explore how to solve exponential equations.