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Popular >

f(x)=(|x|-1)/(x^2+1)

Solution

f (x) = \frac{∣ x ∣ - 1}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq \frac{2 - 1}{2}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1 - 2, \frac{2 - 1}{2}), Minimum (0, - 1), Maximum (1 + 2, \frac{2 - 1}{2})

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Solution steps

Domain of

\frac{∣ x ∣ - 1}{x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{∣ x ∣ - 1}{x ^{2} + 1} : - 1 \leq f (x) \leq \frac{2 - 1}{2}

Axis interception points of

\frac{∣ x ∣ - 1}{x ^{2} + 1} :

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{∣ x ∣ - 1}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{∣ x ∣ - 1}{x ^{2} + 1} :

Maximum

(- 1 - 2, \frac{2 - 1}{2}),

Minimum

(0, - 1),

Maximum

(1 + 2, \frac{2 - 1}{2})

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Frequently Asked Questions (FAQ)

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