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Popular >

f(x)=(4x+5)^3(x^2-6x+5)^4

Solution

f (x) = (4 x + 5)^{3} (x^{2} - 6 x + 5)^{4}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (5, 0), (- \frac{5}{4}, 0), Y Intercepts : (0, 78125)

Asymptotes : None

Extreme Points : Saddle (- \frac{5}{4}, 0), Maximum (\frac{16 - 421}{11}, \frac{89119366500 421 - 1855834194000}{161051} + \frac{37 9 ^{4} \cdot 4089911 + 5.37703 E 18 - 37 9 ^{4} \cdot 196876 421 - 2.62086 E 17 421}{285311670611} + \frac{7.07107 E 14 - 3.44249 E 13 421}{19487171} + \frac{4.94516 E 15 421 - 1.01434 E 17}{2357947691} + \frac{62500 ( 34 421 - 379 )}{121} + 78125), Minimum (1, 0), Maximum (\frac{16 + 421}{11}, \frac{- 1855834194000 - 89119366500 421}{161051} + \frac{37 9 ^{4} \cdot 4089911 + 37 9 ^{4} \cdot 196876 421 + 2.62086 E 17 421 + 5.37703 E 18}{285311670611} + \frac{7.07107 E 14 + 3.44249 E 13 421}{19487171} + \frac{- 1.01434 E 17 - 4.94516 E 15 421}{2357947691} + \frac{62500 ( - 379 - 34 421 )}{121} + 78125), Minimum (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(4 x + 5)^{3} (x^{2} - 6 x + 5)^{4} : - \infty < x < \infty

Range of

(4 x + 5)^{3} (x^{2} - 6 x + 5)^{4} : - \infty < f (x) < \infty

Axis interception points of

(4 x + 5)^{3} (x^{2} - 6 x + 5)^{4} :

X Intercepts

: (1, 0), (5, 0), (- \frac{5}{4}, 0),

Y Intercepts

: (0, 78125)

Asymptotes of

(4 x + 5)^{3} (x^{2} - 6 x + 5)^{4} :

None

Extreme Points of

(4 x + 5)^{3} (x^{2} - 6 x + 5)^{4} :

Saddle

(- \frac{5}{4}, 0),

Maximum

(\frac{16 - 421}{11}, \frac{89119366500 421 - 1855834194000}{161051} + \frac{37 9 ^{4} \cdot 4089911 + 5.37703 E 18 - 37 9 ^{4} \cdot 196876 421 - 2.62086 E 17 421}{285311670611} + \frac{7.07107 E 14 - 3.44249 E 13 421}{19487171} + \frac{4.94516 E 15 421 - 1.01434 E 17}{2357947691} + \frac{62500 ( 34 421 - 379 )}{121} + 78125),

Minimum

(1, 0),

Maximum

(\frac{16 + 421}{11}, \frac{- 1855834194000 - 89119366500 421}{161051} + \frac{37 9 ^{4} \cdot 4089911 + 37 9 ^{4} \cdot 196876 421 + 2.62086 E 17 421 + 5.37703 E 18}{285311670611} + \frac{7.07107 E 14 + 3.44249 E 13 421}{19487171} + \frac{- 1.01434 E 17 - 4.94516 E 15 421}{2357947691} + \frac{62500 ( - 379 - 34 421 )}{121} + 78125),

Minimum

(5, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(4x+5)^3(x^2-6x+5)^4 ?
The f(x)=(4x+5)^3(x^2-6x+5)^4 is