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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{61}{4}

X Intercepts : (\frac{7 + 61}{2}, 0), (\frac{7 - 61}{2}, 0), Y Intercepts : (0, - 3)

Vertex : Minimum (\frac{7}{2}, - \frac{61}{4})

Inverse : \frac{7 + 4 x + 61}{2}, \frac{7 - 4 x + 61}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{61}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{2} - 7 x - 3 : f (x) \geq - \frac{61}{4}

Axis interception points of

x^{2} - 7 x - 3 :

X Intercepts

: (\frac{7 + 61}{2}, 0), (\frac{7 - 61}{2}, 0),

Y Intercepts

: (0, - 3)

Vertex of

x^{2} - 7 x - 3 :

Minimum

(\frac{7}{2}, - \frac{61}{4})

Inverse of

x^{2} - 7 x - 3 : \frac{7 + 4 x + 61}{2}, \frac{7 - 4 x + 61}{2}

Popular Examples

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y = \frac{( cot ( x ) )}{( 1 + cot ( x ) )}

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Frequently Asked Questions (FAQ)

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