1. Lesson 1

1.6. Explore 2

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

In Try This 2 you may have noticed that when b is greater than 1 in the formula y = bx, the graph increases from quadrant II to quadrant I. This graph describes exponential growth.

 

 

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

This graph shows y = bx, b > 1.



When b is greater than 0 but less than 1, the graph decreases from quadrant II to quadrant I. This graph describes exponential decay.

 

 

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

This graph shows y = bx, 0 < b < 1.



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

  • The domain is {x|x ∈ R}.
  • The range is {y|y > 0, y ∈ R}.
  • There is no x-intercept.
  • The y-intercept is 1.
  • The end behaviour is that the graph goes from quadrant II to quadrant I.

Self-Check 1



textbook

Complete questions 1 and 2 on page 337 of your textbook. Answer