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Popular >

f(x)=((3x)/((x^2+1)))^4

Solution

f (x) = (\frac{3 x}{( x ^{2} + 1 )})^{4}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{81}{16}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1, \frac{81}{16}), Minimum (0, 0), Maximum (1, \frac{81}{16})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{81}{16}]

Solution steps

Domain of

(\frac{3 x}{x ^{2} + 1})^{4} : - \infty < x < \infty

Range of

(\frac{3 x}{x ^{2} + 1})^{4} : 0 < f (x) \leq \frac{81}{16}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 1, \frac{81}{16}),

Minimum

(0, 0),

Maximum

(1, \frac{81}{16})

Popular Examples

y = (x + 3) 2 - 4

f(m)=(32)/(3*m)

f (m) = \frac{32}{3 \cdot m}

f(x)=-4cos^2(x)

f (x) = - 4 cos^{2} (x)

y=1.5(x-0.5)^2-1

y = 1.5 (x - 0.5)^{2} - 1

f(x)=x^3*sin(x)

f (x) = x^{3} \cdot sin (x)

Frequently Asked Questions (FAQ)

What is the f(x)=((3x)/((x^2+1)))^4 ?
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