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Popular Functions >

f(x)=x^2+5x+100

Solution

f (x) = x^{2} + 5 x + 100

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{375}{4}

Y Intercepts : (0, 100)

Vertex : Minimum (- \frac{5}{2}, \frac{375}{4})

Inverse : \frac{- 5 + 4 x - 375}{2}, \frac{- 5 - 4 x - 375}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{375}{4}, \infty)

Solution steps

Domain of

x^{2} + 5 x + 100 : - \infty < x < \infty

Range of

x^{2} + 5 x + 100 : f (x) \geq \frac{375}{4}

Axis interception points of

x^{2} + 5 x + 100 :

Y Intercepts

: (0, 100)

Vertex of

x^{2} + 5 x + 100 :

Minimum

(- \frac{5}{2}, \frac{375}{4})

Inverse of

x^{2} + 5 x + 100 : \frac{- 5 + 4 x - 375}{2}, \frac{- 5 - 4 x - 375}{2}

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^2+5x+100 ?
The f(x)=x^2+5x+100 is