easy. All polynomials are functions.
each value of x produces a single value of y.
This assuming I am correctly interpreting what you mean by a "polynomial equation."
Explain how you can tell whether a polynomial equation is a function and not just a relation.
4 answers
Is this true:
for each value of the independent variable, is there one and only one value for the dependent variable?
for each value of the independent variable, is there one and only one value for the dependent variable?
For each value of the independent there is either none or one value for the dependent right? Meaning that x cannot have 2 y values and then its a function. (Passes VLT)
if there is no value of y for some x, then it is not even a relation, much less a function.
There must be exactly one y for each x.
There must be exactly one y for each x.