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Popular Functions >

y=sqrt(x^2-5x+6)

Solution

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

Solution

Domain : x \leq 2 or x \geq 3

Range : f (x) \geq 0

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

Asymptotes : Slant y = x - \frac{5}{2}, y = - x + \frac{5}{2}

Extreme Points : Minimum (2, 0), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, 2] \cup [3, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} - 5 x + 6 : x \leq 2 or x \geq 3

Range of

x^{2} - 5 x + 6 : f (x) \geq 0

Axis interception points of

x^{2} - 5 x + 6 :

X Intercepts

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

Y Intercepts

: (0, 6)

Asymptotes of

x^{2} - 5 x + 6 :

Slant

: y = x - \frac{5}{2}, y = - x + \frac{5}{2}

Extreme Points of

x^{2} - 5 x + 6 :

Minimum

(2, 0),

Minimum

(3, 0)

Graph

Popular Examples

f(x)=(cos(2x))/x

f(x)=2x^3-36x^2+210x-15

f(x)=(-x^3-2x^{-2}+5)(x^{-4}+5x^2-x-9)

y=x^3,0<= x<= 5

Frequently Asked Questions (FAQ)

What is the y=sqrt(x^2-5x+6) ?
The y=sqrt(x^2-5x+6) is