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Popular >

y=(8+2x)(x^2+1)^4

Solution

y = (8 + 2 x) (x^{2} + 1)^{4}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 4, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Maximum (- \frac{16 + 247}{9}, \frac{50 3 ^{4} \cdot 40 + 508438000068 247 + 3418096540848 - 50 3 ^{4} \cdot 2 247}{387420489} - \frac{2 ( 16 + 247 )}{9} + 8), Minimum (\frac{- 16 + 247}{9}, \frac{50 3 ^{4} \cdot 40 + 50 3 ^{4} \cdot 2 247 + 3418096540848 - 508438000068 247}{387420489} + \frac{2 ( - 16 + 247 )}{9} + 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(8 + 2 x) (x^{2} + 1)^{4} : - \infty < x < \infty

Range of

(8 + 2 x) (x^{2} + 1)^{4} : - \infty < f (x) < \infty

Axis interception points of

(8 + 2 x) (x^{2} + 1)^{4} :

X Intercepts

: (- 4, 0),

Y Intercepts

: (0, 8)

Asymptotes of

(8 + 2 x) (x^{2} + 1)^{4} :

None

Extreme Points of

(8 + 2 x) (x^{2} + 1)^{4} :

Maximum

(- \frac{16 + 247}{9}, \frac{50 3 ^{4} \cdot 40 + 508438000068 247 + 3418096540848 - 50 3 ^{4} \cdot 2 247}{387420489} - \frac{2 ( 16 + 247 )}{9} + 8),

Minimum

(\frac{- 16 + 247}{9}, \frac{50 3 ^{4} \cdot 40 + 50 3 ^{4} \cdot 2 247 + 3418096540848 - 508438000068 247}{387420489} + \frac{2 ( - 16 + 247 )}{9} + 8)

Popular Examples

y = 4 x^{2} + 8 x + 5

f(x)=5x^3-7x+11

f (x) = 5 x^{3} - 7 x + 11

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

f (m) = m^{3} - 8

f (x) = (x^{2} + 3) 2

Frequently Asked Questions (FAQ)

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