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Popular Functions >

range of-x^2-3

Solution

range

- x^{2} - 3

Solution

f (x) \leq - 3

+1

Interval Notation

(- \infty, - 3]

Solution steps

Vertex of

- x^{2} - 3 :

Maximum

(0, - 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}) = (0, - 3)

f (x) \leq - 3

Graph

Popular Examples

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domain of f(x)=3x^2+x-2

range of f(x)=(x-7)/(3x-5)

Frequently Asked Questions (FAQ)

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