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Popular >

f(x)=3x^2+8x+2

Solution

f (x) = 3 x^{2} + 8 x + 2

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{10}{3}

X Intercepts : (\frac{- 4 + 10}{3}, 0), (- \frac{4 + 10}{3}, 0), Y Intercepts : (0, 2)

Vertex : Minimum (- \frac{4}{3}, - \frac{10}{3})

Inverse : \frac{- 4 + 3 x + 10}{3}, - \frac{3 x + 10 + 4}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{10}{3}, \infty)

Solution steps

Domain of

3 x^{2} + 8 x + 2 : - \infty < x < \infty

Range of

3 x^{2} + 8 x + 2 : f (x) \geq - \frac{10}{3}

Axis interception points of

3 x^{2} + 8 x + 2 :

X Intercepts

: (\frac{- 4 + 10}{3}, 0), (- \frac{4 + 10}{3}, 0),

Y Intercepts

: (0, 2)

Vertex of

3 x^{2} + 8 x + 2 :

Minimum

(- \frac{4}{3}, - \frac{10}{3})

Inverse of

3 x^{2} + 8 x + 2 : \frac{- 4 + 3 x + 10}{3}, - \frac{3 x + 10 + 4}{3}

Popular Examples

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Frequently Asked Questions (FAQ)

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