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Popular >

y=(x+1)^2(x-1)^3(2x-3)

Solution

y = (x + 1)^{2} \cdot (x - 1)^{3} \cdot (2 x - 3)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 3283301 - 291617 409}{2985984} + 3

X Intercepts : (- 1, 0), (1, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (\frac{13 - 409}{24}, \frac{291617 409 - 3283301}{2985984} + 3), Saddle (1, 0), Minimum (\frac{13 + 409}{24}, \frac{- 3283301 - 291617 409}{2985984} + 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 3283301 - 291617 409}{2985984} + 3, \infty)

Solution steps

Domain of

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

Range of

(x + 1)^{2} \cdot (x - 1)^{3} \cdot (2 x - 3) : f (x) \geq \frac{- 3283301 - 291617 409}{2985984} + 3

Axis interception points of

(x + 1)^{2} \cdot (x - 1)^{3} \cdot (2 x - 3) :

X Intercepts

: (- 1, 0), (1, 0), (\frac{3}{2}, 0),

Y Intercepts

: (0, 3)

Asymptotes of

(x + 1)^{2} \cdot (x - 1)^{3} \cdot (2 x - 3) :

None

Extreme Points of

(x + 1)^{2} \cdot (x - 1)^{3} \cdot (2 x - 3) :

Minimum

(- 1, 0),

Maximum

(\frac{13 - 409}{24}, \frac{291617 409 - 3283301}{2985984} + 3),

Saddle

(1, 0),

Minimum

(\frac{13 + 409}{24}, \frac{- 3283301 - 291617 409}{2985984} + 3)

Popular Examples

s(t)=((t^4)/3)2-4(t 1/3 (t^4)/(12))

s (t) = (\frac{t ^{4}}{3}) 2 - 4 (t \frac{1}{3} \frac{t ^{4}}{12})

f(x)=13x^2+8x-4

f (x) = 13 x^{2} + 8 x - 4

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

f (y) = x^{2} - x + 1

y=x^4-12x^3+48x^2-64x

y = x^{4} - 12 x^{3} + 48 x^{2} - 64 x

Frequently Asked Questions (FAQ)

What is the y=(x+1)^2*(x-1)^3*(2x-3) ?
The y=(x+1)^2*(x-1)^3*(2x-3) is