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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{11}{5}

X Intercepts : (\frac{- 1 + 11}{5}, 0), (- \frac{1 + 11}{5}, 0), Y Intercepts : (0, - 2)

Vertex : Minimum (- \frac{1}{5}, - \frac{11}{5})

Inverse : \frac{- 1 + 5 x + 11}{5}, - \frac{5 x + 11 + 1}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{11}{5}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{- 1 + 11}{5}, 0), (- \frac{1 + 11}{5}, 0),

Y Intercepts

: (0, - 2)

Vertex of

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

Minimum

(- \frac{1}{5}, - \frac{11}{5})

Inverse of

5 x^{2} + 2 x - 2 : \frac{- 1 + 5 x + 11}{5}, - \frac{5 x + 11 + 1}{5}

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Frequently Asked Questions (FAQ)

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