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Popular >

f(x)=(2x-6)^4(x^2+x+1)^5

Solution

f (x) = (2 x - 6)^{4} (x^{2} + x + 1)^{5}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (3, 0), Y Intercepts : (0, 1296)

Asymptotes : None

Extreme Points : Minimum (\frac{21 - 1057}{28}, \frac{3082006 1057 - 101206134}{5488} + \frac{316227610 - 6726010 1057}{76832} + \frac{5.19398 E 13 - 1596476202320 1057}{963780608} + \frac{14 9 ^{5} \cdot 3231 1057 + 14 9 ^{5} \cdot 107249 - 3.36799 E 14 1057 - 4.64106 E 15}{53971714048} + \frac{41332438370 - 1291656770 1057}{2151296} + \frac{810 ( 149 - 5 1057 )}{7} + 1296), Maximum (\frac{21 + 1057}{28}, \frac{- 101206134 - 3082006 1057}{5488} + \frac{316227610 + 6726010 1057}{76832} + \frac{5.19398 E 13 + 1596476202320 1057}{963780608} + \frac{14 9 ^{5} \cdot 107249 + 3.36799 E 14 1057 - 14 9 ^{5} \cdot 3231 1057 - 4.64106 E 15}{53971714048} + \frac{41332438370 + 1291656770 1057}{2151296} + \frac{810 ( 149 + 5 1057 )}{7} + 1296), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

(2 x - 6)^{4} (x^{2} + x + 1)^{5} : - \infty < x < \infty

Range of

(2 x - 6)^{4} (x^{2} + x + 1)^{5} : f (x) \geq 0

Axis interception points of

(2 x - 6)^{4} (x^{2} + x + 1)^{5} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, 1296)

Asymptotes of

(2 x - 6)^{4} (x^{2} + x + 1)^{5} :

None

Extreme Points of

(2 x - 6)^{4} (x^{2} + x + 1)^{5} :

Minimum

(\frac{21 - 1057}{28}, \frac{3082006 1057 - 101206134}{5488} + \frac{316227610 - 6726010 1057}{76832} + \frac{5.19398 E 13 - 1596476202320 1057}{963780608} + \frac{14 9 ^{5} \cdot 3231 1057 + 14 9 ^{5} \cdot 107249 - 3.36799 E 14 1057 - 4.64106 E 15}{53971714048} + \frac{41332438370 - 1291656770 1057}{2151296} + \frac{810 ( 149 - 5 1057 )}{7} + 1296),

Maximum

(\frac{21 + 1057}{28}, \frac{- 101206134 - 3082006 1057}{5488} + \frac{316227610 + 6726010 1057}{76832} + \frac{5.19398 E 13 + 1596476202320 1057}{963780608} + \frac{14 9 ^{5} \cdot 107249 + 3.36799 E 14 1057 - 14 9 ^{5} \cdot 3231 1057 - 4.64106 E 15}{53971714048} + \frac{41332438370 + 1291656770 1057}{2151296} + \frac{810 ( 149 + 5 1057 )}{7} + 1296),

Minimum

(3, 0)

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(2x-6)^4(x^2+x+1)^5 ?
The f(x)=(2x-6)^4(x^2+x+1)^5 is