Question

Find the range for f(x) = –x2 + 1, for x > 0.

Answer 1

@ParthKohli

Answer 2

@SithsAndGiggles

Answer 3

Can you first find the maximum of this?

Answer 4

-1

Answer 5

@e.mccormick

Answer 6

Is that \(f(x) = –x^2 + 1\) ?

If so, you can try 0 to see the end that is not included, and then use a little understanding of \(x^2\) to know where it would end.

Answer 7

The range, or output, in this case is restricted because the domain is restricted.

Oh, and -1 is not the max. Put in 0 for x and you will see what the max is approaching. 0 for x is not included because it says \(x > 0\), not \(x \ge 0\). So when you do the range, remember to indicate this is not inclusive.