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Popular Functions >

y=x^2-5x+6

Solution

y = x^{2} - 5 x + 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (3, 0), (2, 0), Y Intercepts : (0, 6)

Vertex : Minimum (\frac{5}{2}, - \frac{1}{4})

Inverse : \frac{5 + 4 x + 1}{2}, \frac{5 - 4 x + 1}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

x^{2} - 5 x + 6 : - \infty < x < \infty

Range of

x^{2} - 5 x + 6 : f (x) \geq - \frac{1}{4}

Axis interception points of

x^{2} - 5 x + 6 :

X Intercepts

: (3, 0), (2, 0),

Y Intercepts

: (0, 6)

Vertex of

x^{2} - 5 x + 6 :

Minimum

(\frac{5}{2}, - \frac{1}{4})

Inverse of

x^{2} - 5 x + 6 : \frac{5 + 4 x + 1}{2}, \frac{5 - 4 x + 1}{2}

Graph

Popular Examples

range of f(x)=(x^2+x-2)/(x^2)

midpoint (2,-7),(-8,6)

asymptotes of f(x)= 8/(x^2)

domain of f(x)= 4/(x+4)+sqrt(x)+1

perpendicular y= 1/5 x+4/5

Frequently Asked Questions (FAQ)

What is the y=x^2-5x+6 ?
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