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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 2, 0), (1, 0), (3, 0), Y Intercepts : (0, 54)

Asymptotes : None

Extreme Points : Maximum (\frac{1 - 46}{5}, \frac{26046 + 31464 46}{3125} + 54), Minimum (\frac{1 + 46}{5}, \frac{26046 - 31464 46}{3125} + 54), Saddle (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 2, 0), (1, 0), (3, 0),

Y Intercepts

: (0, 54)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{1 - 46}{5}, \frac{26046 + 31464 46}{3125} + 54),

Minimum

(\frac{1 + 46}{5}, \frac{26046 - 31464 46}{3125} + 54),

Saddle

(3, 0)

Popular Examples

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

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

y = e^{7 x}

y = x^{2} - 3

y = x^{2} + 5

f(x)=x^3-10x^2+28x-24

f (x) = x^{3} - 10 x^{2} + 28 x - 24

Frequently Asked Questions (FAQ)

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