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Popular >

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

Popular Examples

inverse of f(x)=(-3-4r)/(2+3r)inverse

f (x) = \frac{- 3 - 4 r}{2 + 3 r}

inverse of 2-3e^{x-4}inverse

2 - 3 e^{x - 4}

slope of y=(-2xy)/(x^2+4),\at x=2 slope

y = \frac{- 2 x y}{x ^{2} + 4}, at x = 2

slope of y-3=4(x+8)slope

y - 3 = 4 (x + 8)

(1) (1)

Frequently Asked Questions (FAQ)

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