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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1, 0), (- 2, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Minimum (- 2, 0), Maximum (- \frac{4}{5}, \frac{52488}{3125}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 8)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, 0),

Maximum

(- \frac{4}{5}, \frac{52488}{3125}),

Saddle

(1, 0)

Popular Examples

f(x)=(2x)/(3x^2-3)

f (x) = \frac{2 x}{3 x ^{2} - 3}

f (x) = \frac{4}{- x - 2}

f(x)= 1/(x+2)+1

f (x) = \frac{1}{x + 2} + 1

f(x)=cos^2(ln(x))

f (x) = cos^{2} (ln (x))

y = g (2)

Frequently Asked Questions (FAQ)

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