y = 2x + 3 is a function rule. This rule can also be written in several different ways:
f(x) = 2x + 3 "f of x equals ...', or f: x -> 2x+3 "f maps x as ...".
As a set of ordered pairs. Here is a set of pairs which satisfy our function, f: {(1,5), (2,7), (3, 9), (4, 11)}.
A table of values, also known as a 'T chart'.
A mapping diagram,, which has two oval shapes with numbers in them, and arrows joining the numbers in one oval to the numbers in the other oval.
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A rule is a way of describing a function in words. Conversly, a function is simply a way of describing mathematical rules in numbers and symbols.
A table organizing to imput rule and output of a function
A linear function is a function whose graph is a straight line.
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.