Lesson 4

Explore

 

In Try This 1 you compared two exponential relations: y = 10x and x = 10y. In Lesson 3 you learned that y = log10 x is equivalent to x = 10y. In Try This 2 you will explore the characteristics of the graph of y = log10 x and compare them to the characteristics of the graph of x = 10y.

 

Try This 2

 

Open the “Logarithmic Functions—Activity A” applet.

 

1. Change the a-value to 10 and complete the following chart. Note: You can change the zoom of the graph in “Logarithmic Functions—Activity A” using the buttons on the right of the applet.
   
   

   Characteristics	y = log10 x
   Domain
   Range
   x-intercept
   y-intercept
   End Behaviour

2. How does the graph of y = log10 x compare to the graph of x = 10y you saw in Try This 1?

Save your responses in your course folder.