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Popular >

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

Solution

f (x) = (2 x + 1)^{3} (3 - 2 x)^{2}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{1}{2}, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Saddle (- \frac{1}{2}, 0), Maximum (\frac{7}{10}, \frac{110592}{3125}), Minimum (\frac{3}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 9)

Asymptotes of

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

None

Extreme Points of

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

Saddle

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

Maximum

(\frac{7}{10}, \frac{110592}{3125}),

Minimum

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

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Frequently Asked Questions (FAQ)

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