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Popular >

f(x)=x^2+7x+11

Solution

f (x) = x^{2} + 7 x + 11

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{5}{4}

X Intercepts : (\frac{- 7 + 5}{2}, 0), (\frac{- 7 - 5}{2}, 0), Y Intercepts : (0, 11)

Vertex : Minimum (- \frac{7}{2}, - \frac{5}{4})

Inverse : \frac{- 7 + 4 x + 5}{2}, \frac{- 7 - 4 x + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{4}, \infty)

Solution steps

Domain of

x^{2} + 7 x + 11 : - \infty < x < \infty

Range of

x^{2} + 7 x + 11 : f (x) \geq - \frac{5}{4}

Axis interception points of

x^{2} + 7 x + 11 :

X Intercepts

: (\frac{- 7 + 5}{2}, 0), (\frac{- 7 - 5}{2}, 0),

Y Intercepts

: (0, 11)

Vertex of

x^{2} + 7 x + 11 :

Minimum

(- \frac{7}{2}, - \frac{5}{4})

Inverse of

x^{2} + 7 x + 11 : \frac{- 7 + 4 x + 5}{2}, \frac{- 7 - 4 x + 5}{2}

Popular Examples

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f (x) = - 0.5 x^{2} + 40 x - 300

y = 2 (x - 1)^{2} + 4

Frequently Asked Questions (FAQ)

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