What is the f(x)=5x^2-3x+7 ?

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f(x)=5x^2-3x+7

f (x) = 5 x^{2} - 3 x + 7

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{131}{20}

Y Intercepts : (0, 7)

Vertex : Minimum (\frac{3}{10}, \frac{131}{20})

Inverse : \frac{3 + 20 x - 131}{10}, \frac{3 - 20 x - 131}{10}

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{131}{20}, \infty)

Solution steps

Domain of

5 x^{2} - 3 x + 7 : - \infty < x < \infty

Range of

5 x^{2} - 3 x + 7 : f (x) \geq \frac{131}{20}

Axis interception points of

5 x^{2} - 3 x + 7 :

Y Intercepts

: (0, 7)

Vertex of

5 x^{2} - 3 x + 7 :

Minimum

(\frac{3}{10}, \frac{131}{20})

Inverse of

5 x^{2} - 3 x + 7 : \frac{3 + 20 x - 131}{10}, \frac{3 - 20 x - 131}{10}

\frac{\partial}{\partial x} (\frac{x ^{3}}{3} + 4 y)

\frac{d y}{d x} = x^{6} y^{- 7}

1 - y^{2}

\frac{d y}{d x} = x^{8} e^{x^{9}}

y^{^{''}} + 25 y = - 10 sin (5 t)