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Popular >

range of f(x)=-2x^2-5

Solution

range

f (x) = - 2 x^{2} - 5

Solution

f (x) \leq - 5

+1

Interval Notation

(- \infty, - 5]

Solution steps

Vertex of

- 2 x^{2} - 5 :

Maximum

(0, - 5)

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 = - 2,

Vertex

(x_{v}, y_{v}) = (0, - 5)

f (x) \leq - 5

Popular Examples

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

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

intercepts of y=3e^{-x}intercepts

y = 3 e^{- x}

periodicity of 3+t^5+sin(pit)periodicity

3 + t^{5} + sin (π t)

range of 1/4 x^3-6 range

\frac{1}{4} x^{3} - 6

domain of f(x)=(10x^2)/(x^4+25)domain

f (x) = \frac{10 x ^{2}}{x ^{4} + 25}

Frequently Asked Questions (FAQ)

What is the range of f(x)=-2x^2-5 ?
The range of f(x)=-2x^2-5 is f(x)<=-5