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Popular Functions >

f(x)=5x^2+13x-6

Solution

f (x) = 5 x^{2} + 13 x - 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{289}{20}

X Intercepts : (\frac{2}{5}, 0), (- 3, 0), Y Intercepts : (0, - 6)

Vertex : Minimum (- \frac{13}{10}, - \frac{289}{20})

Inverse : \frac{- 13 + 20 x + 289}{10}, \frac{- 13 - 20 x + 289}{10}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{289}{20}, \infty)

Solution steps

Domain of

5 x^{2} + 13 x - 6 : - \infty < x < \infty

Range of

5 x^{2} + 13 x - 6 : f (x) \geq - \frac{289}{20}

Axis interception points of

5 x^{2} + 13 x - 6 :

X Intercepts

: (\frac{2}{5}, 0), (- 3, 0),

Y Intercepts

: (0, - 6)

Vertex of

5 x^{2} + 13 x - 6 :

Minimum

(- \frac{13}{10}, - \frac{289}{20})

Inverse of

5 x^{2} + 13 x - 6 : \frac{- 13 + 20 x + 289}{10}, \frac{- 13 - 20 x + 289}{10}

Graph

Popular Examples

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y=2x^3+3x^2-36x

y=(x^2+1)/(x^2)

Frequently Asked Questions (FAQ)

What is the f(x)=5x^2+13x-6 ?
The f(x)=5x^2+13x-6 is