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Popular >

y= x/(x^2+36)

Solution

y = \frac{x}{x ^{2} + 36}

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{12} \leq f (x) \leq \frac{1}{12}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 6, - \frac{1}{12}), Maximum (6, \frac{1}{12})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{12}, \frac{1}{12}]

Solution steps

Domain of

\frac{x}{x ^{2} + 36} : - \infty < x < \infty

Range of

\frac{x}{x ^{2} + 36} : - \frac{1}{12} \leq f (x) \leq \frac{1}{12}

Axis interception points of

\frac{x}{x ^{2} + 36} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{x ^{2} + 36} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{x ^{2} + 36} :

Minimum

(- 6, - \frac{1}{12}),

Maximum

(6, \frac{1}{12})

Popular Examples

f(z)=\sqrt[4]{z}

f(x)=-\sqrt[3]{4x+1}-2

y = - 4 (x + 6)^{2} + 36

y = \frac{7}{x ^{3}}

f(x)=x^2+2x+101

f (x) = x^{2} + 2 x + 101

Frequently Asked Questions (FAQ)

What is the y= x/(x^2+36) ?
The y= x/(x^2+36) is