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Popular >

y=(3x)/(x^2+1)

Solution

y = \frac{3 x}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : - \frac{3}{2} \leq f (x) \leq \frac{3}{2}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{3}{2}), Maximum (1, \frac{3}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3}{2}, \frac{3}{2}]

Solution steps

Domain of

\frac{3 x}{x ^{2} + 1} : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{3 x}{x ^{2} + 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{3 x}{x ^{2} + 1} :

Minimum

(- 1, - \frac{3}{2}),

Maximum

(1, \frac{3}{2})

Popular Examples

f(x)=(2x^2+7x-10)(5x^4-4x^2+5x+1)

f (x) = (2 x^{2} + 7 x - 10) (5 x^{4} - 4 x^{2} + 5 x + 1)

y=log_{10}(-x-3)-2

y = lo g_{10} (- x - 3) - 2

f(x)={(x^2-4)/(x-2),x<2}

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

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

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

h (x) = ln (x + 5)

Frequently Asked Questions (FAQ)

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