Consider the graph at right.
Is the graph a function? Explain.
What causes a graph to be a function or not a function?
Look up 'function' in the glossary if you aren't sure.
Sketch the inverse of this graph. Is the inverse a function? Justify your answer.
Reflect the graph across
Are there any
-values that have more than one -value?
Must the inverse of a function be a function? Explain.
Consider several different functions and their inverses.
Describe a characteristic of functions that have inverse functions.
See part (a).
Think about how this rule is translated to the inverse.
Could the inverse of a non-function be a function? Explain or give an example.
Think about functions whose inverses are non-functions.
What about the inverse of that inverse?