Question

In []: ## Question 2 Create a piece-wise function `pwfun()`, defined in the following way: $$ \text{pwfun}(x) = \begin{cases} -2 x^2 &, \hspace{1.1cm} x < -1 \\ \hspace{.5cm} 0 &, -1 \leq x \leq 1 \\ x^2 - 1 &, \hspace{0.3cm} 1 < x \end{cases} $$ Its graph is given below. <img src="piecewise-fcn.jpg" height="600" width="300"> Your python function should be able to accept both a single numeric value (float or int), and a list of numeric values. The output should be either a single numeric or a list, depending on what the input is. Round your output values to 2 decimal places. Also, whenever the output entry is an integer (in mathematical sense), it should be converted into an `int` value. For example, if `x = [-3.0, 5.0]`, then `pwfun(x)` should return `[4,24] (NOT `[4., 24.], whose entries `4.` and `24.` are floats) Here are some input vectors and what you should get as a corresponding output. pwfun(-1) pwfun([-2, 0.5, 3]) `[2, 0, 8]` x = [-3.0, -2.5, -1, 0, 1, 2, 3.2] ## note the output of the first two floats` pwfun(x) `[4, 3, 0, 0, 0, 3, 9.24]` raise NotImplementedError x = [-3.0, -2.5, -1, 0, 1, 2, 3.2] pwfun(x)

          In []: 
## Question 2
Create a piece-wise function `pwfun()`, defined in the following way:
$$
\text{pwfun}(x) = \begin{cases}
-2 x^2 &, \hspace{1.1cm} x < -1 \\
\hspace{.5cm} 0 &, -1 \leq x \leq 1 \\
x^2 - 1 &, \hspace{0.3cm} 1 < x
\end{cases}
$$
Its graph is given below. <br>
<img src="piecewise-fcn.jpg" height="600" width="300">
Your python function should be able to accept both a single numeric value (float or int), and a list of numeric values. The
output should be either a single numeric or a list, depending on what the input is. **Round your output values to 2 decimal
places.** Also, whenever the output entry is an integer (in mathematical sense), it should be converted into an `int` value. For
example, if `x = [-3.0, 5.0]`, then `pwfun(x)` should return
`[4,24]
(**NOT** `[4., 24.], whose entries `4.` and `24.` are floats)
Here are some input vectors and what you should get as a corresponding output.
pwfun(-1)<br>
pwfun([-2, 0.5, 3]) <br>
`[2, 0, 8]`
x = [-3.0, -2.5, -1, 0, 1, 2, 3.2] ## note the output of the first two floats` <br>
pwfun(x) <br>
`[4, 3, 0, 0, 0, 3, 9.24]`
raise NotImplementedError
x = [-3.0, -2.5, -1, 0, 1, 2, 3.2]
pwfun(x)

In []:
## Question 2
Create a piece-wise function `pwfun()`, defined in the following way:

pwfun(x) =
-2 x^2 , x < -1
0 , -1 ≤ x ≤ 1

x^2 - 1 , 1 < x

Its graph is given below. <br>
<img src="piecewise-fcn.jpg" height="600" width="300">
Your python function should be able to accept both a single numeric value (float or int), and a list of numeric values. The
output should be either a single numeric or a list, depending on what the input is. **Round your output values to 2 decimal
places.** Also, whenever the output entry is an integer (in mathematical sense), it should be converted into an `int` value. For
example, if `x = [-3.0, 5.0]`, then `pwfun(x)` should return
`[4,24]
(**NOT** `[4., 24.], whose entries `4.` and `24.` are floats)
Here are some input vectors and what you should get as a corresponding output.
pwfun(-1)<br>
pwfun([-2, 0.5, 3]) <br>
`[2, 0, 8]`
x = [-3.0, -2.5, -1, 0, 1, 2, 3.2] ## note the output of the first two floats` <br>
pwfun(x) <br>
`[4, 3, 0, 0, 0, 3, 9.24]`
raise NotImplementedError
x = [-3.0, -2.5, -1, 0, 1, 2, 3.2]
pwfun(x)

Added by Cindy L.

Question

Please give Ace some feedback