Discover

 

In the previous lesson you solved exponential equations by guessing and checking or, when possible, ensuring common bases and then equating the exponents. You verified the solution through graphing or substitution. You will use these same skills to understand logarithms and their uses.

 

Try This 1

1.  
   1. Complete the table provided for the function y = 2x; then graph the function.
      
      

      x	y
      −1
      0
      1
      2
      3
      4

   2. State the domain, range, x-intercept, y-intercept, and equation of asymptotes for the graph.
2.  
   1. Complete the table provided for the inverse function x = 2y; then graph the inverse function.
      
      

      x	y
      	−1
      	0
      	1
      	2
      	3
      	4

   2. State the domain, range, x-intercept, y-intercept, and equation of asymptotes for this inverse relation.
3. Does the inverse graph represent a function? Explain your answer.
4.  
   1. How many 2’s are multiplied together to produce 8? In other words, 2 to what exponent would equal 8?
   2. Looking at the inverse function table or graph, when x = 8 what is the y-value?
   3. What do you notice about your answer to question 4 parts a and b? Why do you think this is?

Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following question based on your graph created in Try This 1:

 

How are the graphs of y = 2x and the inverse, x = 2y, related?

 

If required, save a record of your discussion in your course folder.