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Popular >

U(x)=-0.5x^2+20x-100

Solution

U (x) = - 0.5 x^{2} + 20 x - 100

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 100

X Intercepts : (10 (2 - 2), 0), (10 (2 + 2), 0), Y Intercepts : (0, - 100)

Vertex : Maximum (20, 100)

Inverse : - \frac{- 200 + - 200 x + 20000}{10}, - \frac{- 200 - - 200 x + 20000}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 100]

Solution steps

Domain of

- 0.5 x^{2} + 20 x - 100 : - \infty < x < \infty

Range of

- 0.5 x^{2} + 20 x - 100 : f (x) \leq 100

Axis interception points of

- 0.5 x^{2} + 20 x - 100 :

X Intercepts

: (10 (2 - 2), 0), (10 (2 + 2), 0),

Y Intercepts

: (0, - 100)

Vertex of

- 0.5 x^{2} + 20 x - 100 :

Maximum

(20, 100)

Inverse of

- 0.5 x^{2} + 20 x - 100 : - \frac{- 200 + - 200 x + 20000}{10}, - \frac{- 200 - - 200 x + 20000}{10}

Popular Examples

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

y = - 1 - x + 9

Frequently Asked Questions (FAQ)

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