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Popular Functions >

range of 1-x^2

Solution

range

Solution

f (x) \leq 1

+1

Interval Notation

Solution steps

Vertex of

1 - x^{2} :

Maximum

(0, 1)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 1,

Vertex

(x_{v}, y_{v}) = (0, 1)

f (x) \leq 1

Graph

Popular Examples

asymptotes of f(x)= 2/(x+2)+3

asymptotes of f(x)=(4x^2)/(x^2-4x+4)

asymptotes of f(x)=((-4))/((2x-5))

amplitude of 4cos(1/3 x+pi/4)+1

midpoint (-2,-3),(4,5)

Frequently Asked Questions (FAQ)

What is the range of 1-x^2 ?
The range of 1-x^2 is f(x)<= 1