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Popular >

f(x)=-x^2+3x-1

Solution

f (x) = - x^{2} + 3 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{5}{4}

X Intercepts : (\frac{3 - 5}{2}, 0), (\frac{3 + 5}{2}, 0), Y Intercepts : (0, - 1)

Vertex : Maximum (\frac{3}{2}, \frac{5}{4})

Inverse : - \frac{- 3 + - 4 x + 5}{2}, - \frac{- 3 - - 4 x + 5}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{5}{4}]

Solution steps

Domain of

- x^{2} + 3 x - 1 : - \infty < x < \infty

Range of

- x^{2} + 3 x - 1 : f (x) \leq \frac{5}{4}

Axis interception points of

- x^{2} + 3 x - 1 :

X Intercepts

: (\frac{3 - 5}{2}, 0), (\frac{3 + 5}{2}, 0),

Y Intercepts

: (0, - 1)

Vertex of

- x^{2} + 3 x - 1 :

Maximum

(\frac{3}{2}, \frac{5}{4})

Inverse of

- x^{2} + 3 x - 1 : - \frac{- 3 + - 4 x + 5}{2}, - \frac{- 3 - - 4 x + 5}{2}

Popular Examples

integral of ((e^{2x}))/(e^{4x)+4}

\int \frac{( e ^{2 x} )}{e ^{4 x} + 4} d x

integral of 1/(sqrt(8-2x-x^2))

\int \frac{1}{8 - 2 x - x ^{2}} d x

derivative of 3/2

\frac{d}{d x} (\frac{3}{2})

(\partial)/(\partial x)(3e)

\frac{\partial}{\partial x} (3 e)

integral of e^{-3x}sin(bx)

\int e^{- 3 x} sin (b x) d x

Frequently Asked Questions (FAQ)

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