MVC Assignment Graph

 

Question 1:

1.

          𝑓(𝑥) = { 𝑥 + 4        if − 4 < 𝑥 < 0     ,

       𝑥 − 4        if      0 < 𝑥 < 4

It is symmetry about origin that's why it is a odd function

2.

                𝑔(𝑥) = 𝑥²|𝑥 + 2|       for      (−4 < 𝑥 < 4),

 the graph confirms it is neither even nor odd because it is not symmetry about neither y-axis nor the origin. 

3.                                                                    ℎ(𝑥) = 𝑥|𝑥|         for    (−1 < 𝑥 < 1).

It is symmetry about origin that's why it is a odd function