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Popular >

L(x)=-0.2x^2+40x-200

Solution

L (x) = - 0.2 x^{2} + 40 x - 200

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1800

X Intercepts : (10 (10 - 310), 0), (10 (10 + 310), 0), Y Intercepts : (0, - 200)

Vertex : Maximum (100, 1800)

Inverse : - \frac{- 400 + - 80 x + 144000}{4}, - \frac{- 400 - - 80 x + 144000}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1800]

Solution steps

Domain of

- 0.2 x^{2} + 40 x - 200 : - \infty < x < \infty

Range of

- 0.2 x^{2} + 40 x - 200 : f (x) \leq 1800

Axis interception points of

- 0.2 x^{2} + 40 x - 200 :

X Intercepts

: (10 (10 - 310), 0), (10 (10 + 310), 0),

Y Intercepts

: (0, - 200)

Vertex of

- 0.2 x^{2} + 40 x - 200 :

Maximum

(100, 1800)

Inverse of

- 0.2 x^{2} + 40 x - 200 : - \frac{- 400 + - 80 x + 144000}{4}, - \frac{- 400 - - 80 x + 144000}{4}

Popular Examples

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f(x)=-2x^2+3x+3

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

Frequently Asked Questions (FAQ)

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