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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

f(x)=x^4+12x^2-8

f (x) = x^{4} + 12 x^{2} - 8

f(x)=(x^2-2)/(x+1)

f (x) = \frac{x ^{2} - 2}{x + 1}

f(x)=\sqrt[3]{x^4}-4\sqrt[3]{x}

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

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

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

Frequently Asked Questions (FAQ)

What is the f(x)=(2x)/((x^2+4)) ?
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