What is the f(x)=(sqrt(1-x^2))/x ?

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f(x)=(sqrt(1-x^2))/x

f (x) = \frac{1 - x ^{2}}{x}

Domain : - 1 \leq x < 0 or 0 < x \leq 1

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

X Intercepts : (1, 0), (- 1, 0)

Asymptotes : Vertical x = 0

Extreme Points : Maximum (- 1, 0), Minimum (1, 0)

Interval Notation

Domain : [- 1, 0) \cup (0, 1]

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1 - x ^{2}}{x} : - 1 \leq x < 0 or 0 < x \leq 1

Range of

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

Axis interception points of

\frac{1 - x ^{2}}{x} :

X Intercepts

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

Asymptotes of

\frac{1 - x ^{2}}{x} :

Vertical

: x = 0

Extreme Points of

\frac{1 - x ^{2}}{x} :

Maximum

(- 1, 0),

Minimum

(1, 0)

y = 10 csc (5 x^{5} - 4 x + 4)

\int \frac{3 x ^{2}}{( 1 - x ) ( x ^{2} + x + 1 )} d x

x \to 4 lim (- x^{2} + 6 x - 3)

n = 0 \sum \infty x^{2 n + 1}

\frac{d}{d x} (\frac{1}{1 - 2 x})