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Popular >

y=x^2+9x+1

Solution

y = x^{2} + 9 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{77}{4}

X Intercepts : (\frac{- 9 + 77}{2}, 0), (\frac{- 9 - 77}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (- \frac{9}{2}, - \frac{77}{4})

Inverse : \frac{- 9 + 4 x + 77}{2}, \frac{- 9 - 4 x + 77}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{77}{4}, \infty)

Solution steps

Domain of

x^{2} + 9 x + 1 : - \infty < x < \infty

Range of

x^{2} + 9 x + 1 : f (x) \geq - \frac{77}{4}

Axis interception points of

x^{2} + 9 x + 1 :

X Intercepts

: (\frac{- 9 + 77}{2}, 0), (\frac{- 9 - 77}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

x^{2} + 9 x + 1 :

Minimum

(- \frac{9}{2}, - \frac{77}{4})

Inverse of

x^{2} + 9 x + 1 : \frac{- 9 + 4 x + 77}{2}, \frac{- 9 - 4 x + 77}{2}

Popular Examples

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y = 3 cot (2) (x + \frac{π}{6}) - 8

f (x) = - 3^{x} + 1

f(x)=-log_{2}(x-2)

f (x) = - lo g_{2} (x - 2)

Frequently Asked Questions (FAQ)

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