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Popular >

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

Solution

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

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

Vertex of

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

Minimum

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

Inverse of

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

Popular Examples

f(x)=x^3-9x^2-9x-15

f (x) = x^{3} - 9 x^{2} - 9 x - 15

f(x)=x^3e^{-3x}

f (x) = x^{3} e^{- 3 x}

f(x)=x^3e^{-4x}

f (x) = x^{3} e^{- 4 x}

f (x) = 3 x^{2} - 6 x - 3

y=2x-(x^2)/(20)

y = 2 x - \frac{x ^{2}}{20}

Frequently Asked Questions (FAQ)

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