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Popular >

f(x)=(x-5)^5(x+1)^7

Solution

f (x) = (x - 5)^{5} (x + 1)^{7}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{2573571875}{4096}

X Intercepts : (5, 0), (- 1, 0), Y Intercepts : (0, - 3125)

Asymptotes : None

Extreme Points : Saddle (- 1, 0), Minimum (\frac{5}{2}, - \frac{2573571875}{4096}), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{2573571875}{4096}, \infty)

Solution steps

Domain of

(x - 5)^{5} (x + 1)^{7} : - \infty < x < \infty

Range of

(x - 5)^{5} (x + 1)^{7} : f (x) \geq - \frac{2573571875}{4096}

Axis interception points of

(x - 5)^{5} (x + 1)^{7} :

X Intercepts

: (5, 0), (- 1, 0),

Y Intercepts

: (0, - 3125)

Asymptotes of

(x - 5)^{5} (x + 1)^{7} :

None

Extreme Points of

(x - 5)^{5} (x + 1)^{7} :

Saddle

(- 1, 0),

Minimum

(\frac{5}{2}, - \frac{2573571875}{4096}),

Saddle

(5, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x-5)^5(x+1)^7 ?
The f(x)=(x-5)^5(x+1)^7 is