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Popular >

range of f(x)=-x^2

Solution

range

f (x) = - x^{2}

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- x^{2} :

Maximum

(0, 0)

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, 0)

f (x) \leq 0

Popular Examples

range of sqrt(12-x^2)range

12 - x^{2}

domain of f(x)=1-e^{-x}*x^2 domain

f (x) = 1 - e^{- x} \cdot x^{2}

inverse of f(x)=(-(1/5)x+3)/5 inverse

f (x) = \frac{- ( \frac{1}{5} ) x + 3}{5}

intercepts of x^2+sqrt(x)intercepts

x^{2} + x

symmetry y=-4x^2+0x+4 symmetry

y = - 4 x^{2} + 0 x + 4

Frequently Asked Questions (FAQ)

What is the range of f(x)=-x^2 ?
The range of f(x)=-x^2 is f(x)<= 0