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Popular >

y=x^2+12x+27

Solution

y = x^{2} + 12 x + 27

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 9

X Intercepts : (- 3, 0), (- 9, 0), Y Intercepts : (0, 27)

Vertex : Minimum (- 6, - 9)

Inverse : - 6 + x + 9, - x + 9 - 6

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 9, \infty)

Solution steps

Domain of

x^{2} + 12 x + 27 : - \infty < x < \infty

Range of

x^{2} + 12 x + 27 : f (x) \geq - 9

Axis interception points of

x^{2} + 12 x + 27 :

X Intercepts

: (- 3, 0), (- 9, 0),

Y Intercepts

: (0, 27)

Vertex of

x^{2} + 12 x + 27 :

Minimum

(- 6, - 9)

Inverse of

x^{2} + 12 x + 27 : - 6 + x + 9, - x + 9 - 6

Popular Examples

y = - 3 sin (2 x)

f(x)=2x^3-4x^2-x+4

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

f (x) = \frac{4}{x + 5}

f (x) = e^{x - 6}

y = \frac{sin ( 2 x )}{x}

Frequently Asked Questions (FAQ)

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