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Popular >

range of-x^2-2x-5

Solution

range

- x^{2} - 2 x - 5

Solution

f (x) \leq - 4

+1

Interval Notation

(- \infty, - 4]

Solution steps

Vertex of

- x^{2} - 2 x - 5 :

Maximum

(- 1, - 4)

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, - 4)

f (x) \leq - 4

Popular Examples

domain of-x^2-4x+5 domain

- x^{2} - 4 x + 5

range of sqrt(-x-1)range

- x - 1

domain of f(x)=(2x)/(x^2+2x+1)domain

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

symmetry (x-1)^2-4 symmetry

(x - 1)^{2} - 4

inverse of f(x)=(3x-1)/(2x+8)inverse

f (x) = \frac{3 x - 1}{2 x + 8}

Frequently Asked Questions (FAQ)

What is the range of-x^2-2x-5 ?
The range of-x^2-2x-5 is f(x)<=-4