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Popular Functions >

range of-x^2-2x-1

Solution

range

- x^{2} - 2 x - 1

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- x^{2} - 2 x - 1 :

Maximum

(- 1, 0)

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, 0)

f (x) \leq 0

Graph

Popular Examples

domain of f(x)=0.5(2)^x

domain of sqrt(x^2-3)

domain of 9-4x^2

distance (-3,2),(2,-2)

intercepts of f(x)=-1/2 (x-1/3)^2-3/2

Frequently Asked Questions (FAQ)

What is the range of-x^2-2x-1 ?
The range of-x^2-2x-1 is f(x)<= 0