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Popular Calculus >

y=(5-x^2)^5

Solution

y = (5 - x^{2})^{5}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3125

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

Asymptotes : None

Extreme Points : Saddle (- 5, 0), Maximum (0, 3125), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3125]

Solution steps

Domain of

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

Range of

(5 - x^{2})^{5} : f (x) \leq 3125

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 3125)

Asymptotes of

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

None

Extreme Points of

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

Saddle

(- 5, 0),

Maximum

(0, 3125),

Saddle

(5, 0)

Graph

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Frequently Asked Questions (FAQ)

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