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Popular >

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

Solution

y = \frac{∣ x - 2 ∣}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{5 + 2}{2}

X Intercepts : (2, 0), Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (2 - 5, \frac{5 + 2}{2}), Minimum (2, 0), Maximum (2 + 5, \frac{5 - 2}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{5 + 2}{2}]

Solution steps

Domain of

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

Range of

\frac{∣ x - 2 ∣}{x ^{2} + 1} : 0 \leq f (x) \leq \frac{5 + 2}{2}

Axis interception points of

\frac{∣ x - 2 ∣}{x ^{2} + 1} :

X Intercepts

: (2, 0),

Y Intercepts

: (0, 2)

Asymptotes of

\frac{∣ x - 2 ∣}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{∣ x - 2 ∣}{x ^{2} + 1} :

Maximum

(2 - 5, \frac{5 + 2}{2}),

Minimum

(2, 0),

Maximum

(2 + 5, \frac{5 - 2}{2})

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y = 6 x^{2} - 23 x + 20

Frequently Asked Questions (FAQ)

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