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Popular >

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

Solution

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

Solution

Domain : x \geq 0

Range : 0 \leq f (x) \leq \frac{3 ^{\frac{3}{4}}}{4}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (\frac{1}{3}, \frac{3 ^{\frac{3}{4}}}{4})

+1

Interval Notation

Domain : [0, \infty)

Range : [0, \frac{3 ^{\frac{3}{4}}}{4}]

Solution steps

Domain of

\frac{x}{x ^{2} + 1} : x \geq 0

Range of

\frac{x}{x ^{2} + 1} : 0 \leq f (x) \leq \frac{3 ^{\frac{3}{4}}}{4}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(0, 0),

Maximum

(\frac{1}{3}, \frac{3 ^{\frac{3}{4}}}{4})

Popular Examples

f(x)= 1/(x^2+2x-3)

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

f (x) = 10 x + 8

f (x) = (x + 1)

y = \frac{x}{4}

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

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

Frequently Asked Questions (FAQ)

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