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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (3, 0), Y Intercepts : (0, - 108)

Asymptotes : None

Extreme Points : Maximum (2, 0), Minimum (\frac{12}{5}, - \frac{108}{3125}), Saddle (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (2, 0), (3, 0),

Y Intercepts

: (0, - 108)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(2, 0),

Minimum

(\frac{12}{5}, - \frac{108}{3125}),

Saddle

(3, 0)

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\frac{d y}{d x}, x y = x^{7} y + 72

limit as x approaches-infinity of ln(x-2)

x \to - \infty lim (ln (x - 2))

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y = (tan (\frac{1}{x}))^{s e c (\frac{1}{x})}

limit as x approaches 1 of (x^2-sqrt(x))/(1-x)

x \to 1 lim (\frac{x ^{2} - x}{1 - x})

Frequently Asked Questions (FAQ)

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