en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

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

Graph

Popular Examples

domain of-x^2-4x+5

d o main - x^{2} - 4 x + 5

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

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

slope of 3x-10y=20

s l o p e 3 x - 10 y = 20

midpoint (-1,4),(4,-2)

mi d p o in t (- 1, 4), (4, - 2)

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

Frequently Asked Questions (FAQ)

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