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Popular >

f(x)=-2x^2+2x-1

Solution

f (x) = - 2 x^{2} + 2 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - \frac{1}{2}

Y Intercepts : (0, - 1)

Vertex : Maximum (\frac{1}{2}, - \frac{1}{2})

Inverse : - \frac{- 1 + - 2 x - 1}{2}, \frac{- 2 x - 1 + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{1}{2}]

Solution steps

Domain of

- 2 x^{2} + 2 x - 1 : - \infty < x < \infty

Range of

- 2 x^{2} + 2 x - 1 : f (x) \leq - \frac{1}{2}

Axis interception points of

- 2 x^{2} + 2 x - 1 :

Y Intercepts

: (0, - 1)

Vertex of

- 2 x^{2} + 2 x - 1 :

Maximum

(\frac{1}{2}, - \frac{1}{2})

Inverse of

- 2 x^{2} + 2 x - 1 : - \frac{- 1 + - 2 x - 1}{2}, \frac{- 2 x - 1 + 1}{2}

Popular Examples

y = x^{2} + 9 x + 14

y = x^{2} + 9 x + 13

f (x) = \frac{x}{2 - x}

f(x)=x^3+12x-24

f (x) = x^{3} + 12 x - 24

y = - (x + 3)^{2} - 3

Frequently Asked Questions (FAQ)

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