1. Lesson 4

1.8. Lesson 4 Summary

Mathematics 30-2 Module 7

Module 7: Exponents and Logarithms

 

Lesson 4 Summary

 

Like the other functions you have seen, logarithmic functions can be graphed. The graph of a logarithmic function in the form y = a log x has the following characteristics:

 

x-intercept 1
Number of y-intercepts 0
End Behaviour The curve extends from quadrant IV to quadrant I when a > 0 and from quadrant I to quadrant IV when a < 0.
Domain x > 0
Range y ∈ R

Adapted from PRINCIPLES OF MATHEMATICS 12 by Canavan-McGrath et al. Copyright Nelson Education Ltd. Reprinted with permission.

 

 

This diagram shows two graphs of y equals a times the base 10 logarithm of x. The variable a is positive in one graph and negative in the other.

 

In the next lesson you will explore how logarithmic expressions can be manipulated using the laws of logarithms.