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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{425}{4}

X Intercepts : (\frac{5 + 5 17}{2}, 0), (\frac{5 - 5 17}{2}, 0), Y Intercepts : (0, - 100)

Vertex : Minimum (\frac{5}{2}, - \frac{425}{4})

Inverse : \frac{5 + 4 x + 425}{2}, \frac{5 - 4 x + 425}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{425}{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{425}{4}

Axis interception points of

x^{2} - 5 x - 100 :

X Intercepts

: (\frac{5 + 5 17}{2}, 0), (\frac{5 - 5 17}{2}, 0),

Y Intercepts

: (0, - 100)

Vertex of

x^{2} - 5 x - 100 :

Minimum

(\frac{5}{2}, - \frac{425}{4})

Inverse of

x^{2} - 5 x - 100 : \frac{5 + 4 x + 425}{2}, \frac{5 - 4 x + 425}{2}

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Frequently Asked Questions (FAQ)

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