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Popular >

range of x^2-2

Solution

range

x^{2} - 2

Solution

f (x) \geq - 2

+1

Interval Notation

[- 2, \infty)

Solution steps

Vertex of

x^{2} - 2 :

Minimum

(0, - 2)

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, - 2)

f (x) \geq - 2

Popular Examples

extreme-x^3+12x-16 extreme points

- x^{3} + 12 x - 16

domain of f(x)=sqrt(x^2-18)domain

f (x) = x^{2} - 18

asymptotes of f(x)=2csc(3(x-pi/4))asymptotes

f (x) = 2 csc (3 (x - \frac{π}{4}))

range of (-5x)/(x-8)range

\frac{- 5 x}{x - 8}

asymptotes of x/(x^2+5)asymptotes

\frac{x}{x ^{2} + 5}

Frequently Asked Questions (FAQ)

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