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Popular Functions >

y=2x^2+16x+27

Solution

y = 2 x^{2} + 16 x + 27

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 5

X Intercepts : (\frac{- 8 + 10}{2}, 0), (- \frac{8 + 10}{2}, 0), Y Intercepts : (0, 27)

Vertex : Minimum (- 4, - 5)

Inverse : \frac{- 16 + 8 x + 40}{4}, \frac{- 16 - 8 x + 40}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, \infty)

Solution steps

Domain of

2 x^{2} + 16 x + 27 : - \infty < x < \infty

Range of

2 x^{2} + 16 x + 27 : f (x) \geq - 5

Axis interception points of

2 x^{2} + 16 x + 27 :

X Intercepts

: (\frac{- 8 + 10}{2}, 0), (- \frac{8 + 10}{2}, 0),

Y Intercepts

: (0, 27)

Vertex of

2 x^{2} + 16 x + 27 :

Minimum

(- 4, - 5)

Inverse of

2 x^{2} + 16 x + 27 : \frac{- 16 + 8 x + 40}{4}, \frac{- 16 - 8 x + 40}{4}

Graph

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Frequently Asked Questions (FAQ)

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