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Popular >

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

Solution

range

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

Solution

f (x) \leq 0

+1

Interval Notation

(- \infty, 0]

Solution steps

Vertex of

- 2 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 = - 2,

Vertex

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

f (x) \leq 0

Popular Examples

asymptotes of f(x)=(x^2+x-12)/(x-3)asymptotes

f (x) = \frac{x ^{2} + x - 12}{x - 3}

perpendicular y= 2/3 x-3,(6,-1)perpendicular

y = \frac{2}{3} x - 3, (6, - 1)

domain of f(x)=5tan(5x)domain

f (x) = 5 tan (5 x)

inverse of f(x)=e^{2x-8}inverse

f (x) = e^{2 x - 8}

parity x^3-x^7 parity

x^{3} - x^{7}

Frequently Asked Questions (FAQ)

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