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Popular Functions >

f(x)=-0.25x^2+50x+400

Solution

f (x) = - 0.25 x^{2} + 50 x + 400

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2900

X Intercepts : (- 20 (29 - 5), 0), (20 (5 + 29), 0), Y Intercepts : (0, 400)

Vertex : Maximum (100, 2900)

Inverse : - 2 (- x + 2900 - 50), 2 (- x + 2900 + 50)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2900]

Solution steps

Domain of

- 0.25 x^{2} + 50 x + 400 : - \infty < x < \infty

Range of

- 0.25 x^{2} + 50 x + 400 : f (x) \leq 2900

Axis interception points of

- 0.25 x^{2} + 50 x + 400 :

X Intercepts

: (- 20 (29 - 5), 0), (20 (5 + 29), 0),

Y Intercepts

: (0, 400)

Vertex of

- 0.25 x^{2} + 50 x + 400 :

Maximum

(100, 2900)

Inverse of

- 0.25 x^{2} + 50 x + 400 : - 2 (- x + 2900 - 50), 2 (- x + 2900 + 50)

Graph

Popular Examples

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f(x)=\sqrt[x]{(10^x-6^x)/(25^x-15^x)}

f(x)= 1/((x+1)(x+2)(x+3))

f(x)=x^4-5x^3+28x-16

Frequently Asked Questions (FAQ)

What is the f(x)=-0.25x^2+50x+400 ?
The f(x)=-0.25x^2+50x+400 is