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Popular >

f(x)=x^2-11x+17

Solution

f (x) = x^{2} - 11 x + 17

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{53}{4}

X Intercepts : (\frac{11 + 53}{2}, 0), (\frac{11 - 53}{2}, 0), Y Intercepts : (0, 17)

Vertex : Minimum (\frac{11}{2}, - \frac{53}{4})

Inverse : \frac{11 + 4 x + 53}{2}, \frac{11 - 4 x + 53}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{53}{4}, \infty)

Solution steps

Domain of

x^{2} - 11 x + 17 : - \infty < x < \infty

Range of

x^{2} - 11 x + 17 : f (x) \geq - \frac{53}{4}

Axis interception points of

x^{2} - 11 x + 17 :

X Intercepts

: (\frac{11 + 53}{2}, 0), (\frac{11 - 53}{2}, 0),

Y Intercepts

: (0, 17)

Vertex of

x^{2} - 11 x + 17 :

Minimum

(\frac{11}{2}, - \frac{53}{4})

Inverse of

x^{2} - 11 x + 17 : \frac{11 + 4 x + 53}{2}, \frac{11 - 4 x + 53}{2}

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Frequently Asked Questions (FAQ)

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