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Popular >

U(x)=-0.5x^2+30x-200

Solution

U (x) = - 0.5 x^{2} + 30 x - 200

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 250

X Intercepts : (10 (3 - 5), 0), (10 (3 + 5), 0), Y Intercepts : (0, - 200)

Vertex : Maximum (30, 250)

Inverse : - \frac{- 300 + - 200 x + 50000}{10}, - \frac{- 300 - - 200 x + 50000}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 250]

Solution steps

Domain of

- 0.5 x^{2} + 30 x - 200 : - \infty < x < \infty

Range of

- 0.5 x^{2} + 30 x - 200 : f (x) \leq 250

Axis interception points of

- 0.5 x^{2} + 30 x - 200 :

X Intercepts

: (10 (3 - 5), 0), (10 (3 + 5), 0),

Y Intercepts

: (0, - 200)

Vertex of

- 0.5 x^{2} + 30 x - 200 :

Maximum

(30, 250)

Inverse of

- 0.5 x^{2} + 30 x - 200 : - \frac{- 300 + - 200 x + 50000}{10}, - \frac{- 300 - - 200 x + 50000}{10}

Popular Examples

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f (x) = \frac{2 x + 2}{x + 4}

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f(x)=\sqrt[3]{x^2-8x+6}

Frequently Asked Questions (FAQ)

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