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Popular >

f(x)=sqrt(x^2+5x+4)

Solution

f (x) = x^{2} + 5 x + 4

Solution

Domain : x \leq - 4 or x \geq - 1

Range : f (x) \geq 0

X Intercepts : (- 1, 0), (- 4, 0), Y Intercepts : (0, 2)

Asymptotes : Slant y = x + \frac{5}{2}, y = - x - \frac{5}{2}

Extreme Points : Minimum (- 4, 0), Minimum (- 1, 0)

+1

Interval Notation

Domain : (- \infty, - 4] \cup [- 1, \infty)

Range : [0, \infty)

Solution steps

Domain of

x^{2} + 5 x + 4 : x \leq - 4 or x \geq - 1

Range of

x^{2} + 5 x + 4 : f (x) \geq 0

Axis interception points of

x^{2} + 5 x + 4 :

X Intercepts

: (- 1, 0), (- 4, 0),

Y Intercepts

: (0, 2)

Asymptotes of

x^{2} + 5 x + 4 :

Slant

: y = x + \frac{5}{2}, y = - x - \frac{5}{2}

Extreme Points of

x^{2} + 5 x + 4 :

Minimum

(- 4, 0),

Minimum

(- 1, 0)

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Frequently Asked Questions (FAQ)

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