A function assigns the value of each element of one set to the other specific element of another set. It can be concluded that the function in the table is a quadratic function and can be modelled as y=x².
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given function is the table if closely observed is a quadratic function. This can be modelled by the equation, y= x²
To check if its a quadratic function or not, substitute the value in the formed function,
y= x²
4 = (-2)²
4 = 4
y= x²
0 = 0²
0 = 0
y= x²
4 = (2)²
4 = 4
y= x²
16 = (4)²
16 = 16
y= x²
36 = (6)²
36 = 36
Hence, it can be concluded that the function in the table is a quadratic function and can be modelled as y=x².
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