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Popular >

f(x)=-0.02x^2+300x-200000

Solution

f (x) = - 0.02 x^{2} + 300 x - 200000

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 925000

X Intercepts : (\frac{30000 - 740000000}{4}, 0), (\frac{30000 + 740000000}{4}, 0), Y Intercepts : (0, - 200000)

Vertex : Maximum (7500, 925000)

Inverse : - \frac{- 30000 + - 800 x + 740000000}{4}, - \frac{- 30000 - - 800 x + 740000000}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 925000]

Solution steps

Domain of

- 0.02 x^{2} + 300 x - 200000 : - \infty < x < \infty

Range of

- 0.02 x^{2} + 300 x - 200000 : f (x) \leq 925000

Axis interception points of

- 0.02 x^{2} + 300 x - 200000 :

X Intercepts

: (\frac{30000 - 740000000}{4}, 0), (\frac{30000 + 740000000}{4}, 0),

Y Intercepts

: (0, - 200000)

Vertex of

- 0.02 x^{2} + 300 x - 200000 :

Maximum

(7500, 925000)

Inverse of

- 0.02 x^{2} + 300 x - 200000 : - \frac{- 30000 + - 800 x + 740000000}{4}, - \frac{- 30000 - - 800 x + 740000000}{4}

Popular Examples

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f (x) = \frac{1}{3} x (x) (x) - \frac{1}{2} x (x) - 6 x + 14

Frequently Asked Questions (FAQ)

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