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Popular >

y= 1/2x^2+3/4x-1/2

Solution

y = \frac{1}{2} \cdot x^{2} + \frac{3}{4} \cdot x - \frac{1}{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{25}{32}

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

Vertex : Minimum (- \frac{3}{4}, - \frac{25}{32})

Inverse : \frac{- 3 + 32 x + 25}{4}, \frac{- 3 - 32 x + 25}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{25}{32}, \infty)

Solution steps

Domain of

\frac{1}{2} \cdot x^{2} + \frac{3}{4} \cdot x - \frac{1}{2} : - \infty < x < \infty

Range of

\frac{1}{2} \cdot x^{2} + \frac{3}{4} \cdot x - \frac{1}{2} : f (x) \geq - \frac{25}{32}

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0), (- 2, 0),

Y Intercepts

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

Vertex of

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

Minimum

(- \frac{3}{4}, - \frac{25}{32})

Inverse of

\frac{1}{2} \cdot x^{2} + \frac{3}{4} \cdot x - \frac{1}{2} : \frac{- 3 + 32 x + 25}{4}, \frac{- 3 - 32 x + 25}{4}

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Frequently Asked Questions (FAQ)

What is the y= 1/2*x^2+3/4*x-1/2 ?
The y= 1/2*x^2+3/4*x-1/2 is