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Popular Calculus >

f(x)=4sqrt(x^2+3x)

Solution

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

Solution

Domain : x \leq - 3 or x \geq 0

Range : f (x) \geq 0

X Intercepts : (0, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : Slant y = 4 x + 6, y = - 4 x - 6

Extreme Points : Minimum (- 3, 0), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 3] \cup [0, \infty)

Range : [0, \infty)

Solution steps

Domain of

4 x^{2} + 3 x : x \leq - 3 or x \geq 0

Range of

4 x^{2} + 3 x : f (x) \geq 0

Axis interception points of

4 x^{2} + 3 x :

X Intercepts

: (0, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

4 x^{2} + 3 x :

Slant

: y = 4 x + 6, y = - 4 x - 6

Extreme Points of

4 x^{2} + 3 x :

Minimum

(- 3, 0),

Minimum

(0, 0)

Graph

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x^2y^'-xy=x^4cos(2x),y(pi)= pi/4

integral of (6x)/((5+3x^2)^4)

Frequently Asked Questions (FAQ)

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