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Popular >

f(x)=sqrt(x^2+4)

Solution

f (x) = x^{2} + 4

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 2

Y Intercepts : (0, 2)

Asymptotes : Slant y = x, y = - x

Extreme Points : Minimum (0, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [2, \infty)

Solution steps

Domain of

x^{2} + 4 : - \infty < x < \infty

Range of

x^{2} + 4 : f (x) \geq 2

Axis interception points of

x^{2} + 4 :

Y Intercepts

: (0, 2)

Asymptotes of

x^{2} + 4 :

Slant

: y = x, y = - x

Extreme Points of

x^{2} + 4 :

Minimum

(0, 2)

Popular Examples

extreme (x^3)/3+(x^2)/2-2x+7 extreme points

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 2 x + 7

slope of 8x+6y=-5 slope

8 x + 6 y = - 5

slope of 5x+4y-15 slope

5 x + 4 y - 15

symmetry x^2+6x+5 symmetry

x^{2} + 6 x + 5

inverse of y=(x-7)^3 inverse

y = (x - 7)^{3}

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x^2+4) ?
The f(x)=sqrt(x^2+4) is