Section 1.2 Inverse Functions
These exercises examine the invertibility of a function defined using a table.
Exercises Exercises
1.
The table below defines the function \(m\text{.}\) Is \(m\) an invertible function? Why or why not? If your answer is yes, construct a table-of-values for \(m^{-1}\text{.}\)
| \(x\) |
\(1\) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
| \(m(x)\) |
\(0\) |
\(5\) |
\(10\) |
\(15\) |
\(20\) |
2.
The table below defines the function \(p\text{.}\) Is \(p\) an invertible function? Why or why not? If your answer is yes, construct a table-of-values for \(p^{-1}\text{.}\)
| \(x\) |
\(1\) |
\(2\) |
\(3\) |
\(4\) |
\(5\) |
| \(p(x)\) |
\(4\) |
\(0\) |
\(-2\) |
\(0\) |
\(2\) |
