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Popular >

range of x^2-1

Solution

range

x^{2} - 1

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

x^{2} - 1 :

Minimum

(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) \geq - 1

Popular Examples

inverse of f(x)=x^2+3x inverse

f (x) = x^{2} + 3 x

asymptotes of f(x)=xe^{1/(x^2)}asymptotes

f (x) = x e^{\frac{1}{x ^{2}}}

domain of \sqrt[3]{x+2}-3 domain

range of f(x)=6x-2 range

f (x) = 6 x - 2

extreme (x^2)/(x^2+27)extreme points

\frac{x ^{2}}{x ^{2} + 27}

Frequently Asked Questions (FAQ)

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