1. Lesson 4

1.5. Explore

Mathematics 30-1 Module 6

Module 6: Exponents and Logarithms

 

Explore

 

In Try This 1 you graphed the exponential function f(x) = 5x and its inverse, f –1(x) = log5 x. The graph of f –1(x) = log5 x is the reflection of the graph of f(x) = 5x about the line y = x. The coordinates of the exponential function graph and its inverse are connected by the following map: (x, y) (y, x).

 

Self-Check 1
  1. Use your knowledge of logarithmic functions to complete questions 1 to 5 in “Logarithmic Functions – Activity A.”

     
    This is a play button that opens “Logarithmic Functions – Activity A.”
    Screenshot reprinted with permission of ExploreLearning

 

textbook

  1. Complete questions 1.b. and 9 on page 380 of the textbook. Answers
 
Try This 2

 

Open Multiple Transformations. Deselect Quadratic by clicking on the box, and then select Logarithmic by clicking the box.

 

 
This is a play button that opens Multiple Transformations.
Screenshot reprinted with permission of ExploreLearning


  1. Use the sliders to increase and decrease the a-, b-, h-, and k-values. Describe how the parameters a, b, h, and k in the form transform the graph by completing a table like the one shown.

    Parameter

    Effect on the Graph

    Do the domain, range, and/or vertical asymptote change?
    a  
    b  
    c    
    d    
  2. How do your responses compare to your knowledge of transformations from past lessons?
  3. Using Multiple Transformations, compare and y = logc x. Describe the effect of a, b, h, and k on the domain, range, and vertical asymptote.

course folder Save your responses in your course folder.

The domain can change.
There is no change.