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Popular Functions >

y=x^2-7x+12

Solution

y = x^{2} - 7 x + 12

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{4}

X Intercepts : (4, 0), (3, 0), Y Intercepts : (0, 12)

Vertex : Minimum (\frac{7}{2}, - \frac{1}{4})

Inverse : \frac{7 + 4 x + 1}{2}, \frac{7 - 4 x + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

x^{2} - 7 x + 12 : - \infty < x < \infty

Range of

x^{2} - 7 x + 12 : f (x) \geq - \frac{1}{4}

Axis interception points of

x^{2} - 7 x + 12 :

X Intercepts

: (4, 0), (3, 0),

Y Intercepts

: (0, 12)

Vertex of

x^{2} - 7 x + 12 :

Minimum

(\frac{7}{2}, - \frac{1}{4})

Inverse of

x^{2} - 7 x + 12 : \frac{7 + 4 x + 1}{2}, \frac{7 - 4 x + 1}{2}

Graph

Popular Examples

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midpoint (11,-8),(18,-5)

Frequently Asked Questions (FAQ)

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