What is the y=(1/(x^2)+6)(x^2-1/(x^2)+6) ?

The y=(1/(x^2)+6)(x^2-1/(x^2)+6) is

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

y=(1/(x^2)+6)(x^2-1/(x^2)+6)

y = (\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6)

Domain : x < 0 or x > 0

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

X Intercepts : (- 3 + 10, 0), (- - 3 + 10, 0)

Asymptotes : Vertical x = 0

Extreme Points : None

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) : x < 0 or x > 0

Range of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) : - \infty < f (x) < \infty

Axis interception points of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

X Intercepts

: (- 3 + 10, 0), (- - 3 + 10, 0)

Asymptotes of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

Vertical

: x = 0

Extreme Points of

(\frac{1}{x ^{2}} + 6) (x^{2} - \frac{1}{x ^{2}} + 6) :

None

f (x) = (x - 1) (x + 2)^{2}

y = - 5 x^{3} - 5 x^{2} + 210 x

y = x^{3} e^{4 x}

f (x) = x^{2} + 4 x + 14

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