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Popular Functions >

f(x)=3x^2+5x-7

Solution

f (x) = 3 x^{2} + 5 x - 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{109}{12}

X Intercepts : (\frac{- 5 + 109}{6}, 0), (\frac{- 5 - 109}{6}, 0), Y Intercepts : (0, - 7)

Vertex : Minimum (- \frac{5}{6}, - \frac{109}{12})

Inverse : \frac{- 5 + 12 x + 109}{6}, \frac{- 5 - 12 x + 109}{6}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{109}{12}, \infty)

Solution steps

Domain of

3 x^{2} + 5 x - 7 : - \infty < x < \infty

Range of

3 x^{2} + 5 x - 7 : f (x) \geq - \frac{109}{12}

Axis interception points of

3 x^{2} + 5 x - 7 :

X Intercepts

: (\frac{- 5 + 109}{6}, 0), (\frac{- 5 - 109}{6}, 0),

Y Intercepts

: (0, - 7)

Vertex of

3 x^{2} + 5 x - 7 :

Minimum

(- \frac{5}{6}, - \frac{109}{12})

Inverse of

3 x^{2} + 5 x - 7 : \frac{- 5 + 12 x + 109}{6}, \frac{- 5 - 12 x + 109}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=3x^2+5x-7 ?
The f(x)=3x^2+5x-7 is