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Popular >

f(x)=(3x^5-8x^4)^3

Solution

f (x) = (3 x^{5} - 8 x^{4})^{3}

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (\frac{8}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (0, 0), Minimum (\frac{32}{15}, - \frac{838860 8 ^{3}}{25312 5 ^{3}}), Saddle (\frac{8}{3}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(3 x^{5} - 8 x^{4})^{3} : - \infty < x < \infty

Range of

(3 x^{5} - 8 x^{4})^{3} : - \infty < f (x) < \infty

Axis interception points of

(3 x^{5} - 8 x^{4})^{3} :

X Intercepts

: (0, 0), (\frac{8}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{5} - 8 x^{4})^{3} :

None

Extreme Points of

(3 x^{5} - 8 x^{4})^{3} :

Maximum

(0, 0),

Minimum

(\frac{32}{15}, - \frac{838860 8 ^{3}}{25312 5 ^{3}}),

Saddle

(\frac{8}{3}, 0)

Popular Examples

f (x) = cos (\frac{4}{x})

y = x^{2} - 6 x - 4

f(x)=(x+1)e^{-x}

f (x) = (x + 1) e^{- x}

f(x)=((4arctan(x)-pi))/((x^5-x))

f (x) = \frac{( 4 arctan ( x ) - π )}{( x ^{5} - x )}

f(x)=(3x)/5-(5x)/3+8/15

f (x) = \frac{3 x}{5} - \frac{5 x}{3} + \frac{8}{15}

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^5-8x^4)^3 ?
The f(x)=(3x^5-8x^4)^3 is