f(x)=-0.088x^2+220 - Wolfram|Alpha

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Input

f(x) = -0.088 x^2 + 220

Alternate form assuming x is real

f(x) = 220 - 0.088 x^2

Alternate form

f(x) = -0.088 (x - 50) (x + 50)

Roots

x = -50

x = 50

Integer root

x = ± 50

Properties as a real function

Domain

R (all real numbers)

Range

{f element R : f<=220}

Parity

even

Derivative

d/dx(220 - 0.088 x^2) = -0.176 x

Indefinite integral assuming all variables are real

integral(-0.088 x^2 + 220) dx = 220 x - 0.0293333 x^3 + constant

Global maximum

$max{-0.088 x^2 + 220} = 220 at x = 0$

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