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Popular >

f(z)=5z^2+13z+5

Solution

f (z) = 5 z^{2} + 13 z + 5

Solution

Domain : - \infty < z < \infty

Range : f (z) \geq - \frac{69}{20}

X Intercepts : (\frac{- 13 + 69}{10}, 0), (\frac{- 13 - 69}{10}, 0), Y Intercepts : (0, 5)

Vertex : Minimum (- \frac{13}{10}, - \frac{69}{20})

Inverse : \frac{- 13 + 20 z + 69}{10}, \frac{- 13 - 20 z + 69}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{69}{20}, \infty)

Solution steps

Domain of

5 z^{2} + 13 z + 5 : - \infty < z < \infty

Range of

5 z^{2} + 13 z + 5 : f (z) \geq - \frac{69}{20}

Axis interception points of

5 z^{2} + 13 z + 5 :

X Intercepts

: (\frac{- 13 + 69}{10}, 0), (\frac{- 13 - 69}{10}, 0),

Y Intercepts

: (0, 5)

Vertex of

5 z^{2} + 13 z + 5 :

Minimum

(- \frac{13}{10}, - \frac{69}{20})

Inverse of

5 z^{2} + 13 z + 5 : \frac{- 13 + 20 z + 69}{10}, \frac{- 13 - 20 z + 69}{10}

Popular Examples

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f (x) = 2 x^{3} - 9 x^{2} - 12 x - 3

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f (x) = 14 x^{3} + 21 x^{2} + 4 x - 2

f(x)=x^3-1+2x^2+2x

f (x) = x^{3} - 1 + 2 x^{2} + 2 x

Frequently Asked Questions (FAQ)

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