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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{11}{2}

Y Intercepts : (0, 3)

Asymptotes : Slant y = x + \frac{1}{2}, y = - x - \frac{1}{2}

Extreme Points : Minimum (- \frac{1}{2}, \frac{11}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{11}{2}, \infty)

Solution steps

Domain of

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

Range of

x^{2} + x + 3 : f (x) \geq \frac{11}{2}

Axis interception points of

x^{2} + x + 3 :

Y Intercepts

: (0, 3)

Asymptotes of

x^{2} + x + 3 :

Slant

: y = x + \frac{1}{2}, y = - x - \frac{1}{2}

Extreme Points of

x^{2} + x + 3 :

Minimum

(- \frac{1}{2}, \frac{11}{2})

Popular Examples

f(x)=ln(8x^2-9x-8)

f (x) = ln (8 x^{2} - 9 x - 8)

f (a) = 1 6^{a}

f (y) = y^{2} - 8 y + 4

y = \frac{x}{2} - 5

y = \frac{x}{2} - 1

Frequently Asked Questions (FAQ)

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