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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (2, 0), (- 1, 0), Y Intercepts : (0, - 4)

Asymptotes : None

Extreme Points : Maximum (- 1, 0), Minimum (0, - 4), Maximum (\frac{7}{5}, \frac{2592}{3125}), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1, 0), (2, 0), (- 1, 0),

Y Intercepts

: (0, - 4)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1, 0),

Minimum

(0, - 4),

Maximum

(\frac{7}{5}, \frac{2592}{3125}),

Minimum

(2, 0)

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f (x) = - x^{3} + 4 x

y = \frac{3}{x + 1}

y = 2 x^{2} + 2 x + 1

Frequently Asked Questions (FAQ)

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