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Popular >

f(x)=-x^2+20x+100

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 200

X Intercepts : (- 10 (2 - 1), 0), (10 (1 + 2), 0), Y Intercepts : (0, 100)

Vertex : Maximum (10, 200)

Inverse : 10 - - x + 200, - x + 200 + 10

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 200]

Solution steps

Domain of

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

Range of

- x^{2} + 20 x + 100 : f (x) \leq 200

Axis interception points of

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

X Intercepts

: (- 10 (2 - 1), 0), (10 (1 + 2), 0),

Y Intercepts

: (0, 100)

Vertex of

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

Maximum

(10, 200)

Inverse of

- x^{2} + 20 x + 100 : 10 - - x + 200, - x + 200 + 10

Popular Examples

f(x)=3x^4-10x^3-12x^2+10x+9

f (x) = 3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9

y = - 3 x^{2} + 12 x - 33

f(x)=(10)/(-3x-3)

f (x) = \frac{10}{- 3 x - 3}

y = 2 sin (x - π)

f(x)=sqrt(x^2+2x+5)

f (x) = x^{2} + 2 x + 5

Frequently Asked Questions (FAQ)

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