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

Consider the graph below. Homework Help ✎

Is the graph a function? Explain.

Make a sketch of the inverse of this graph. Is the inverse a function?

**Justify**your answer.Must the inverse of a function be a function? Explain.

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

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?