+5478 First of all I'm assuming you mean the range of f(x) = x2
Think of it this way: the range is the set of all the y-values that fit on this graphed function, which is a parabola. You can graph it to make things clearer:)
This parabola is the parent function (the basic parabola function.)
It is a positive function (opens upward) and has its vertex at (0,0).
Since the vertex (lowest point in this case) is at y=0, the y-values cannot go lower than 0.
Therefore, while the domain would be all real numbers, the range would be numbers greater than/ equal to 0.
+5478 First of all I'm assuming you mean the range of f(x) = x2
Think of it this way: the range is the set of all the y-values that fit on this graphed function, which is a parabola. You can graph it to make things clearer:)
This parabola is the parent function (the basic parabola function.)
It is a positive function (opens upward) and has its vertex at (0,0).
Since the vertex (lowest point in this case) is at y=0, the y-values cannot go lower than 0.
Therefore, while the domain would be all real numbers, the range would be numbers greater than/ equal to 0.
+129852 Let me add something to what kitty<3 said.
Ask youself the question.....what could "y" be ??
Notice that, if we square any positive or negative "x," we get a "positive."
And, if we square "0," we get "0."
So, as kitty<3 points out, "y" has to be equal to or greater than 0.
