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Popular >

f(x)=3x^2+7x

Solution

f (x) = 3 x^{2} + 7 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{49}{12}

X Intercepts : (0, 0), (- \frac{7}{3}, 0), Y Intercepts : (0, 0)

Vertex : Minimum (- \frac{7}{6}, - \frac{49}{12})

Inverse : \frac{- 7 + 49 + 12 x}{6}, \frac{- 7 - 49 + 12 x}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{12}, \infty)

Solution steps

Domain of

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

Range of

3 x^{2} + 7 x : f (x) \geq - \frac{49}{12}

Axis interception points of

3 x^{2} + 7 x :

X Intercepts

: (0, 0), (- \frac{7}{3}, 0),

Y Intercepts

: (0, 0)

Vertex of

3 x^{2} + 7 x :

Minimum

(- \frac{7}{6}, - \frac{49}{12})

Inverse of

3 x^{2} + 7 x : \frac{- 7 + 49 + 12 x}{6}, \frac{- 7 - 49 + 12 x}{6}

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