Discover

Try This 1

Look at the function y = f(x). Recall that y = f(x) can be thought of as a rule relating how y is determined from x. Can you think of a way to express a rule, x = g(y), relating how x can be determined from y? Complete the following questions to explore this idea.

1. Use the diagram of y = f(x) to complete a table like the following.
   
   

   (input, output) for y = f(x)	(input, output) for x = g(y)
   (−3, 4)

2. Use the (input, output) coordinates from f and g to sketch both on the same coordinate grid. You may use Grid Paper Template to complete this question.
3. Determine the domain and range of each relation. How do the domain and range of y = f(x) compare to the domain and range of x = g(y)?
4. What visual relationship is there between the graphs of y = f(x) and y = g(x)? Use Reflections and Inverses to determine the line that y = f(x) is reflected across to produce the graph of y = g(x).
   
   
    
   

Save your work in your course folder.