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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (\frac{3}{2}, 0), Y Intercepts : (0, - 27)

Asymptotes : None

Extreme Points : Maximum (1, 0), Minimum (\frac{6}{5}, - \frac{27}{3125}), Saddle (\frac{3}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

(x - 1)^{2} (2 x - 3)^{3} :

X Intercepts

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

Y Intercepts

: (0, - 27)

Asymptotes of

(x - 1)^{2} (2 x - 3)^{3} :

None

Extreme Points of

(x - 1)^{2} (2 x - 3)^{3} :

Maximum

(1, 0),

Minimum

(\frac{6}{5}, - \frac{27}{3125}),

Saddle

(\frac{3}{2}, 0)

Popular Examples

y = \frac{1}{5} x + 6

y = \frac{1}{5} x + 7

y= x/(\sqrt[3]{x^2-1)}

f (x) = - \frac{1}{1 - x}

f(x)=(x^2-6x+5)/2

f (x) = \frac{x ^{2} - 6 x + 5}{2}

Frequently Asked Questions (FAQ)

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