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Popular Calculus >

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

Solution

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

Solution

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}

+1

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}

Graph

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(dy)/(dx)=x^8e^{x^9}

limit as x approaches a+1 of x^2-1

d/(dy)(1/(sqrt(x^2+y^2)))

Frequently Asked Questions (FAQ)

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