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Popular >

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

Solution

y = \frac{( 4 x - 2 )}{( 3 x ^{2} + 4 )}

Solution

Domain : - \infty < x < \infty

Range : - \frac{19}{4 3} - \frac{1}{4} \leq f (x) \leq \frac{19}{4 3} - \frac{1}{4}

X Intercepts : (\frac{1}{2}, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{- 3 + 57}{6}, - \frac{57 + 3}{12}), Maximum (\frac{3 + 57}{6}, \frac{57 - 3}{12})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{19}{4 3} - \frac{1}{4}, \frac{19}{4 3} - \frac{1}{4}]

Solution steps

Domain of

\frac{4 x - 2}{3 x ^{2} + 4} : - \infty < x < \infty

Range of

\frac{4 x - 2}{3 x ^{2} + 4} : - \frac{19}{4 3} - \frac{1}{4} \leq f (x) \leq \frac{19}{4 3} - \frac{1}{4}

Axis interception points of

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

X Intercepts

: (\frac{1}{2}, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- \frac{- 3 + 57}{6}, - \frac{57 + 3}{12}),

Maximum

(\frac{3 + 57}{6}, \frac{57 - 3}{12})

Popular Examples

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

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

f(x)=6-2x+4^2-5x^3

f (x) = 6 - 2 x + 4^{2} - 5 x^{3}

f (x) = 4 x^{2} - 5 x - 1

f(x)=16x^4+16x^3-2x-1

f (x) = 16 x^{4} + 16 x^{3} - 2 x - 1

f (x) = 6 x^{2} - 7 x - 2

Frequently Asked Questions (FAQ)

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