SOLUTION: what is the range of the function y=-x^2 + 1

Question 1150038: what is the range of the function y=-x^2 + 1

Found 2 solutions by Boreal, Theo:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The vertex is at x=0 and therefore y=1
for every x, the -x^2 will be negative
therefore, the function will go to - infinity on both sides of the axis of symmetry at x=0. The largest value is 1
range is (-oo, 1]

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the range is all values of y such that y <= 1.
since the coefficient of the x^2 term is negative, the parabola has its vertex as a maximum value and the tails point downward.
the vertex is at y = 1.
the graph of this equation is shown below.

the vertex is the highest point of the graph of the equation and ia at the point (0,1).

the tails extend forever in a negative direction.

the range is y = (-infinity,1] in interval notation.

RELATED QUESTIONS
What is the range of the function y = x^2? (answered by ewatrrr)
What is the domain and range of the following function.... (answered by funmath)
What is the domain and range of the absolute value function... (answered by stanbon)
what is the range of the function y=... (answered by Fombitz)
What is the range of the function y =... (answered by MathLover1)
what is the range of the function y= 4 cos(x+90)... (answered by Alan3354)
What is the range of function {{{f(x) = x^2 + 1}}}, when the domain is... (answered by funmath)
What is the range of the function y=-x+2 with domain... (answered by stanbon)
what is the range of the function y=x^2-10x+21... (answered by ewatrrr)