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Popular Functions >

y=-3x^2+4x+10

Solution

y = - 3 x^{2} + 4 x + 10

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{34}{3}

X Intercepts : (- \frac{- 2 + 34}{3}, 0), (\frac{2 + 34}{3}, 0), Y Intercepts : (0, 10)

Vertex : Maximum (\frac{2}{3}, \frac{34}{3})

Inverse : - \frac{- 2 + - 3 x + 34}{3}, \frac{- 3 x + 34 + 2}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{34}{3}]

Solution steps

Domain of

- 3 x^{2} + 4 x + 10 : - \infty < x < \infty

Range of

- 3 x^{2} + 4 x + 10 : f (x) \leq \frac{34}{3}

Axis interception points of

- 3 x^{2} + 4 x + 10 :

X Intercepts

: (- \frac{- 2 + 34}{3}, 0), (\frac{2 + 34}{3}, 0),

Y Intercepts

: (0, 10)

Vertex of

- 3 x^{2} + 4 x + 10 :

Maximum

(\frac{2}{3}, \frac{34}{3})

Inverse of

- 3 x^{2} + 4 x + 10 : - \frac{- 2 + - 3 x + 34}{3}, \frac{- 3 x + 34 + 2}{3}

Graph

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Frequently Asked Questions (FAQ)

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