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Popular >

y=x^2+12x+11

Solution

y = x^{2} + 12 x + 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 25

X Intercepts : (- 1, 0), (- 11, 0), Y Intercepts : (0, 11)

Vertex : Minimum (- 6, - 25)

Inverse : - 6 + x + 25, - x + 25 - 6

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 25, \infty)

Solution steps

Domain of

x^{2} + 12 x + 11 : - \infty < x < \infty

Range of

x^{2} + 12 x + 11 : f (x) \geq - 25

Axis interception points of

x^{2} + 12 x + 11 :

X Intercepts

: (- 1, 0), (- 11, 0),

Y Intercepts

: (0, 11)

Vertex of

x^{2} + 12 x + 11 :

Minimum

(- 6, - 25)

Inverse of

x^{2} + 12 x + 11 : - 6 + x + 25, - x + 25 - 6

Popular Examples

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f (x) = (x - 1) (x - 2)^{2} (x + 1)^{2}

f(x)= 1/4 x^4-3/2 x^2

f (x) = \frac{1}{4} x^{4} - \frac{3}{2} x^{2}

f(m)=9-8m^2+3m-8m^3

f (m) = 9 - 8 m^{2} + 3 m - 8 m^{3}

f (x) = - x^{3} + 4 x

y = \frac{3}{x + 1}

Frequently Asked Questions (FAQ)

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