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Popular >

y=(4x^3-9sqrt(x)+6)/(3x^2)

Solution

y = \frac{4 x ^{3} - 9 x + 6}{3 x ^{2}}

Solution

Domain : x > 0

Range : f (x) \geq - 0.12429 \dots

X Intercepts : (0.54632 \dots, 0), (0.80069 \dots, 0)

Asymptotes : Vertical x = 0, Slant y = \frac{4}{3} x

Extreme Points : Minimum (0.65129 \dots, - 0.12429 \dots)

+1

Interval Notation

Domain : (0, \infty)

Range : [- 0.12429 \dots, \infty)

Solution steps

Domain of

\frac{4 x ^{3} - 9 x + 6}{3 x ^{2}} : x > 0

Range of

\frac{4 x ^{3} - 9 x + 6}{3 x ^{2}} : f (x) \geq - 0.12429 \dots

Axis interception points of

\frac{4 x ^{3} - 9 x + 6}{3 x ^{2}} :

X Intercepts

: (0.54632 \dots, 0), (0.80069 \dots, 0)

Asymptotes of

\frac{4 x ^{3} - 9 x + 6}{3 x ^{2}} :

Vertical

: x = 0,

Slant

: y = \frac{4}{3} x

Extreme Points of

\frac{4 x ^{3} - 9 x + 6}{3 x ^{2}} :

Minimum

(0.65129 \dots, - 0.12429 \dots)

Popular Examples

y = 2 x^{2} + 8 x - 24

y = 2 x^{2} + 16 x + 2

y=sqrt(1-4/(x^2))

y = 1 - \frac{4}{x ^{2}}

y = \frac{1}{x + 2} - 1

f(x)=(24)/(x^2-2x+4)

f (x) = \frac{24}{x ^{2} - 2 x + 4}

Frequently Asked Questions (FAQ)

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