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Popular >

range of-(x^2)/2-2x

Solution

range

- \frac{x ^{2}}{2} - 2 x

Solution

f (x) \leq 2

+1

Interval Notation

(- \infty, 2]

Solution steps

Vertex of

- \frac{x ^{2}}{2} - 2 x :

Maximum

(- 2, 2)

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 = - \frac{1}{2},

Vertex

(x_{v}, y_{v}) = (- 2, 2)

f (x) \leq 2

Popular Examples

extreme f(x)=2x^3+3x^2-36x extreme points

f (x) = 2 x^{3} + 3 x^{2} - 36 x

intercepts of 3x^2 intercepts

3 x^{2}

domain of x/(x+8)+(x-8)/x domain

\frac{x}{x + 8} + \frac{x - 8}{x}

inflection f(x)=2x^3-3x^2 inflection points

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

inverse of (9x+4)/(x-7)inverse

\frac{9 x + 4}{x - 7}

Frequently Asked Questions (FAQ)

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