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Popular >

F(x)=-2x^2+6x+13

Solution

F (x) = - 2 x^{2} + 6 x + 13

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{35}{2}

X Intercepts : (- \frac{- 3 + 35}{2}, 0), (\frac{3 + 35}{2}, 0), Y Intercepts : (0, 13)

Vertex : Maximum (\frac{3}{2}, \frac{35}{2})

Inverse : - \frac{- 3 + - 2 x + 35}{2}, \frac{- 2 x + 35 + 3}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{35}{2}]

Solution steps

Domain of

- 2 x^{2} + 6 x + 13 : - \infty < x < \infty

Range of

- 2 x^{2} + 6 x + 13 : f (x) \leq \frac{35}{2}

Axis interception points of

- 2 x^{2} + 6 x + 13 :

X Intercepts

: (- \frac{- 3 + 35}{2}, 0), (\frac{3 + 35}{2}, 0),

Y Intercepts

: (0, 13)

Vertex of

- 2 x^{2} + 6 x + 13 :

Maximum

(\frac{3}{2}, \frac{35}{2})

Inverse of

- 2 x^{2} + 6 x + 13 : - \frac{- 3 + - 2 x + 35}{2}, \frac{- 2 x + 35 + 3}{2}

Popular Examples

y 7 y = 3 x

4x^2-20x-24y+96=0

4 x^{2} - 20 x - 24 y + 96 = 0

y^2+10y+2x-24=0

y^{2} + 10 y + 2 x - 24 = 0

y \leq (x + 3)^{2} - 2

y = x^{2} + 4 x - 24

Frequently Asked Questions (FAQ)

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