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Popular Functions >

range of f(x)=-4x^2-8x-6

Solution

range

f (x) = - 4 x^{2} - 8 x - 6

Solution

f (x) \leq - 2

+1

Interval Notation

(- \infty, - 2]

Solution steps

Vertex of

- 4 x^{2} - 8 x - 6 :

Maximum

(- 1, - 2)

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 = - 4,

Vertex

(x_{v}, y_{v}) = (- 1, - 2)

f (x) \leq - 2

Graph

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Frequently Asked Questions (FAQ)

What is the range of f(x)=-4x^2-8x-6 ?
The range of f(x)=-4x^2-8x-6 is f(x)<=-2