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Popular >

y=(3x^5-7x^2-4)/(x^2)

Solution

y = \frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}}

Solution

Domain : x < 0 or x > 0

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

X Intercepts : (1.43864 \dots, 0)

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 5 \frac{8}{9}, \frac{- 21 \cdot 8 ^{\frac{2}{5}} - 20 \cdot 9 ^{\frac{2}{5}}}{3 \cdot 8 ^{\frac{2}{5}}})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}} : x < 0 or x > 0

Range of

\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}} :

X Intercepts

: (1.43864 \dots, 0)

Asymptotes of

\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}} :

Vertical

: x = 0

Extreme Points of

\frac{3 x ^{5} - 7 x ^{2} - 4}{x ^{2}} :

Maximum

(- 5 \frac{8}{9}, \frac{- 21 \cdot 8 ^{\frac{2}{5}} - 20 \cdot 9 ^{\frac{2}{5}}}{3 \cdot 8 ^{\frac{2}{5}}})

Graph

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Frequently Asked Questions (FAQ)

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