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Choose some values for x, calculate the corresponding values of y, and format the result as a table!
y = -4x2 + 1 Range = {y:y=<1, y is an element of the reals}
The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
yes!
The equation y = 4x^2 + 5 is a parabola