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Popular Functions >

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

Solution

range

Solution

f (x) \leq - 3

+1

Interval Notation

Solution steps

Vertex of

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

Maximum

(1, - 3)

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, - 3)

f (x) \leq - 3

Graph

Popular Examples

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monotone f(x)=1-(3/(x^2-1))

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2+2x-4 ?
The range of f(x)=-x^2+2x-4 is f(x)<=-3