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Popular >

f(x)=sqrt(x^2-3x+6)

Solution

f (x) = x^{2} - 3 x + 6

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{15}{2}

Y Intercepts : (0, 6)

Asymptotes : Slant y = x - \frac{3}{2}, y = - x + \frac{3}{2}

Extreme Points : Minimum (\frac{3}{2}, \frac{15}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{15}{2}, \infty)

Solution steps

Domain of

x^{2} - 3 x + 6 : - \infty < x < \infty

Range of

x^{2} - 3 x + 6 : f (x) \geq \frac{15}{2}

Axis interception points of

x^{2} - 3 x + 6 :

Y Intercepts

: (0, 6)

Asymptotes of

x^{2} - 3 x + 6 :

Slant

: y = x - \frac{3}{2}, y = - x + \frac{3}{2}

Extreme Points of

x^{2} - 3 x + 6 :

Minimum

(\frac{3}{2}, \frac{15}{2})

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f (t) = \frac{t ^{2}}{2}

y = 2 x^{2} - 16 x + 24

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x^2-3x+6) ?
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