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Popular >

range of x^2-2x

Solution

range

x^{2} - 2 x

Solution

f (x) \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

Vertex of

x^{2} - 2 x :

Minimum

(1, - 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}) = (1, - 1)

f (x) \geq - 1

Popular Examples

inverse of f(x)= 7/(x-1)inverse

f (x) = \frac{7}{x - 1}

y = (x - 2)^{2}

domain of f(x)=-3x+5 domain

f (x) = - 3 x + 5

asymptotes of (16)/(1+7^{-t)}asymptotes

\frac{16}{1 + 7 ^{- t}}

inflection-x^3+9x^2-52 inflection points

- x^{3} + 9 x^{2} - 52

Frequently Asked Questions (FAQ)

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