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Popular >

f(x)=(x-3)^2(x-5)^3

Solution

f (x) = (x - 3)^{2} (x - 5)^{3}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (3, 0), (5, 0), Y Intercepts : (0, - 1125)

Asymptotes : None

Extreme Points : Maximum (3, 0), Minimum (\frac{19}{5}, - \frac{3456}{3125}), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x - 3)^{2} (x - 5)^{3} : - \infty < x < \infty

Range of

(x - 3)^{2} (x - 5)^{3} : - \infty < f (x) < \infty

Axis interception points of

(x - 3)^{2} (x - 5)^{3} :

X Intercepts

: (3, 0), (5, 0),

Y Intercepts

: (0, - 1125)

Asymptotes of

(x - 3)^{2} (x - 5)^{3} :

None

Extreme Points of

(x - 3)^{2} (x - 5)^{3} :

Maximum

(3, 0),

Minimum

(\frac{19}{5}, - \frac{3456}{3125}),

Saddle

(5, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x-3)^2(x-5)^3 ?
The f(x)=(x-3)^2(x-5)^3 is