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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 2, \frac{1}{4}), Minimum (2, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 2, \frac{1}{4}),

Minimum

(2, - \frac{1}{4})

Popular Examples

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

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

y=2-2cos(pi/2-x)

y = 2 - 2 cos (\frac{π}{2} - x)

f(x)=sqrt(x+5)+4

f (x) = x + 5 + 4

f (m) = 8 m^{3} + 125

y = 4 x^{2} - 3 x - 1

Frequently Asked Questions (FAQ)

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