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Popular >

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

Solution

range

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

Solution

f (x) \leq - 4

+1

Interval Notation

(- \infty, - 4]

Solution steps

Vertex of

- x^{2} - 4 :

Maximum

(0, - 4)

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, - 4)

f (x) \leq - 4

Popular Examples

monotone 1/x monotone intervals

\frac{1}{x}

parity y=x^{sin(x)}parity

y = x^{s i n (x)}

inverse of f(x)= 5/(2x-1)inverse

f (x) = \frac{5}{2 x - 1}

inverse of f(x)=\sqrt[3]{x}+3 inverse

range of f(x)=(x-3)^2 range

f (x) = (x - 3)^{2}

Frequently Asked Questions (FAQ)

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