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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 3)

Asymptotes : Slant y = x + 1, y = - x - 1

Extreme Points : Minimum (- 1, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} + 2 x + 3 :

Y Intercepts

: (0, 3)

Asymptotes of

x^{2} + 2 x + 3 :

Slant

: y = x + 1, y = - x - 1

Extreme Points of

x^{2} + 2 x + 3 :

Minimum

(- 1, 2)

Popular Examples

f(x)=(x^2-4)/(x^2+2x-3)

f (x) = \frac{x ^{2} - 4}{x ^{2} + 2 x - 3}

f(x)=sqrt(x+1)+x-2

f (x) = x + 1 + x - 2

F (x) = 4 x - 3

f(x)=x^{2/3}+(x-1)^{1/3}

f (x) = x^{\frac{2}{3}} + (x - 1)^{\frac{1}{3}}

f(x)=sin(x)+sec(x)+cos(3x)

f (x) = sin (x) + sec (x) + cos (3 x)

Frequently Asked Questions (FAQ)

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