What is the range of the function y = -x2 + 1?
i really need help please

Question

What is the range of the function y = -x2 + 1?
i really need help please

anonymous · Answer

the very smallest $x^2$ can be is zero because if you square a non zero number it is always positive
that means the very LARGEST $-x^2$ can be is zero

anonymous · Answer

so now what is the very largest $-x^2+1$ can be?

anonymous · Answer

if it is not obvious, let me know

anonymous · Answer

o.o......uhh, 1? I really have no idea. im 100% dislexic in algebra and my only two  teachers been the worst in the entire school.

anonymous · Answer

yeah it is one, because... well because if the largest $-x^2$ can be is $0$ then the largest $-x^2+1$ can be is $0+1=1$

anonymous · Answer

okay..

anonymous · Answer

now that should answer the question, because the range is all possible $y$ values

anonymous · Answer

$y$ cannot be any larger than 1, so the range can be written either as $y\leq 1$ or 
$$(-\infty,1]$$ depending on how you are supposed to write your answer

anonymous · Answer

Im sorry for wating your time. But thank you.

anonymous · Answer

btw i knew right away you had a lousy math teacher because of the way the question was asked 
$$y=-x^2+1$$ is not a FUNCTION it in and EQUATION

anonymous · Answer

oh...

anonymous · Answer

not a waste at all, glad to help and i hope it was more or less clear

anonymous · Answer

you can make it a function by writing 
$$\{(x,y):y=-x^2+1\}$$ or more commonly by saying "let $f(x)=-x^2+1$ "