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Popular >

f(x)=-0.05x^2+20x+1000

Solution

f (x) = - 0.05 x^{2} + 20 x + 1000

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3000

X Intercepts : (- 100 (6 - 2), 0), (100 (2 + 6), 0), Y Intercepts : (0, 1000)

Vertex : Maximum (200, 3000)

Inverse : - \frac{- 2000 + - 2000 x + 6000000}{10}, - \frac{- 2000 - - 2000 x + 6000000}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3000]

Solution steps

Domain of

- 0.05 x^{2} + 20 x + 1000 : - \infty < x < \infty

Range of

- 0.05 x^{2} + 20 x + 1000 : f (x) \leq 3000

Axis interception points of

- 0.05 x^{2} + 20 x + 1000 :

X Intercepts

: (- 100 (6 - 2), 0), (100 (2 + 6), 0),

Y Intercepts

: (0, 1000)

Vertex of

- 0.05 x^{2} + 20 x + 1000 :

Maximum

(200, 3000)

Inverse of

- 0.05 x^{2} + 20 x + 1000 : - \frac{- 2000 + - 2000 x + 6000000}{10}, - \frac{- 2000 - - 2000 x + 6000000}{10}

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Frequently Asked Questions (FAQ)

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