Exercise 9.
Let
\begin{equation*}
f(x)=\begin{cases}
\ln(2x)&x \le 50\\
200\exp(-x/10)&x \gt 50\\
\end{cases}\text{.}
\end{equation*}
Solution.
- The Excel command is
=IF(A2 < =50, LN(2*A2),200*EXP(-A2/10))
-
The chart is produced by the following code.
-
The graph will look as follows. Note that the function is not defined at 0.
- The function is not continuous at \(x = 50\text{.}\) Note that the function drops from near 4.5 to about 1 rather suddenly.