Is y=3x^2-2 a function?
my guess is NO
there is only one value of y for every x
so
it is a function (a parabola in fact)
The inverse of this however is NOT a function
I don't understand. so is it or is it not a function
It IS a function ! (I said that)
Just watch out if you are asked for the inverse next.
okay thank you I don't know what an inverse is lol
Oh, sorry, assumed that if you were deciding what was a function you also were doing inverses of functions. You will be :)
To determine whether the equation y = 3x^2 - 2 represents a function, we must check if there is a unique output value (y) for each input value (x).
In this case, the equation y = 3x^2 - 2 is a quadratic equation, and all quadratic equations are functions. Therefore, the given equation is indeed a function.
To understand why, we need to comprehend the concept of a function. A function is a relation between two sets, where each input value (x) is associated with a unique output value (y). In other words, for a given x-coordinate, there can be only one y-coordinate.
In the equation y = 3x^2 - 2, the term 3x^2 represents the input (x) being squared and then multiplied by 3. The term -2 is then subtracted from this result to give the output value (y). For every valid value of x, the equation will yield a unique value of y.
Therefore, the equation y = 3x^2 - 2 represents a function.