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Popular >

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

Solution

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

Solution

Domain : x \leq - 4 or x \geq 0

Range : f (x) \geq 0

X Intercepts : (0, 0), (- 4, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = x + 2, y = - x - 2

Extreme Points : Minimum (- 4, 0), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 4] \cup [0, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} + 4 x : x \leq - 4 or x \geq 0

Range of

x^{2} + 4 x : f (x) \geq 0

Axis interception points of

x^{2} + 4 x :

X Intercepts

: (0, 0), (- 4, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} + 4 x :

Slant

: y = x + 2, y = - x - 2

Extreme Points of

x^{2} + 4 x :

Minimum

(- 4, 0),

Minimum

(0, 0)

Popular Examples

f(x)=sqrt(x^2+64)

f (x) = x^{2} + 64

f(x)=((e^x-e^{-x}))/((e^x+e^{-x))}

f (x) = \frac{( e ^{x} - e ^{- x} )}{( e ^{x} + e ^{- x} )}

f(x)= 1/4 (2^2-3)^4

f (x) = \frac{1}{4} (2^{2} - 3)^{4}

f (x) = x^{4} - 32 x + 4

g(x)=(2x^3)/3-18x

g (x) = \frac{2 x ^{3}}{3} - 18 x

Frequently Asked Questions (FAQ)

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