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Popular Functions >

range of f(x)=-x^2-4x-8

Solution

range

f (x) = - x^{2} - 4 x - 8

Solution

f (x) \leq - 4

+1

Interval Notation

(- \infty, - 4]

Solution steps

Vertex of

- x^{2} - 4 x - 8 :

Maximum

(- 2, - 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}) = (- 2, - 4)

f (x) \leq - 4

Graph

Popular Examples

range of (x-4)^2-5

asymptotes of f(x)=5n^2+3n+1

inverse of f(x)= 2/(x+8)

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2-4x-8 ?
The range of f(x)=-x^2-4x-8 is f(x)<=-4