No.
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Some have symmetry , but not all !!! Square, Rectangle, Rhombus, Kite all have symmetry. A trapezium can be both asymmetric, and symmetric.
I'll attempt to answer this. As worded your question makes no sense. All functions are relations, but not all relations are functions. Like all girls are people but not all people are girls.
Yes. All functions are relations, but not all relations are functions. Functions have to have only one y-value per x-value.
The same as in any other math class. All functions are relations but all relations are not functions. A function must have only one 'answer' in the range for each value of the domain. Relations are just pairing of numbers with no such restriction on the range.
If you plot data they must take some shape (or another)! Data distributions can take all kinds of shapes. The only constraints are thatthey cannot be negative andthe integral (sum) over all possible values is 1.The shapes can be flat (uniform distribution), symmetric (uniform or Gaussian), asymmetric with one peak somewhere in the middle (Poisson), asymmetric with a peak at an end (exponential). These are examples of different shapes that are attained by common continuous data distributions.