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Popular >

y=x(2x+3)

Solution

y = x (2 x + 3)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{8}

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

Vertex : Minimum (- \frac{3}{4}, - \frac{9}{8})

Inverse : \frac{- 3 + 9 + 8 x}{4}, \frac{- 3 - 9 + 8 x}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{8}, \infty)

Solution steps

Domain of

x (2 x + 3) : - \infty < x < \infty

Range of

x (2 x + 3) : f (x) \geq - \frac{9}{8}

Axis interception points of

x (2 x + 3) :

X Intercepts

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

Y Intercepts

: (0, 0)

Vertex of

x (2 x + 3) :

Minimum

(- \frac{3}{4}, - \frac{9}{8})

Inverse of

x (2 x + 3) : \frac{- 3 + 9 + 8 x}{4}, \frac{- 3 - 9 + 8 x}{4}

Popular Examples

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\frac{d}{d x} (x (x + 1))

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\frac{d}{d x} (ln (2 x y + 4))

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\int e^{\frac{1}{2} x} d x

integral of sec(t)(8sec(t)+7tan(t))

\int sec (t) (8 sec (t) + 7 tan (t)) d t

derivative of f(x)=2x^2+x-1,\at a=-1 derivative of

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

Frequently Asked Questions (FAQ)

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