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Popular >

f(x)= 1/(2*x^2+x+1)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{8}{7}

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{4}, \frac{8}{7})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{8}{7}]

Solution steps

Domain of

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

Range of

\frac{1}{2 \cdot x ^{2} + x + 1} : 0 < f (x) \leq \frac{8}{7}

Axis interception points of

\frac{1}{2 \cdot x ^{2} + x + 1} :

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1}{2 \cdot x ^{2} + x + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{1}{2 \cdot x ^{2} + x + 1} :

Maximum

(- \frac{1}{4}, \frac{8}{7})

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Frequently Asked Questions (FAQ)

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