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Home > A2C > Chapter 7 > Lesson 7.2.4 > Problem 7-144

  1. Consider the graph below. Homework Help ✎ graph

    1. Is the graph a function? Explain.

    2. Make a sketch of the inverse of this graph. Is the inverse a function? Justify your answer.

    3. Must the inverse of a function be a function? Explain.

    4. Describe what is characteristic about functions that do have inverse functions.

    5. Could the inverse of a non-function be a function? Explain or give an example.

What causes a graph to be a function or not a function?
Look up 'function' in the glossary if you aren't sure.

Reflect the graph across y = x.
Are there any x-values that have more than one y-value?

Consider several different functions and their inverses.

See part (a).
Think about how this rule is translated to the inverse.

Think about functions whose inverses are non-functions.
What about the inverse of that inverse?