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Popular >

f(x)=(2x^2+6x)/(-4x^2+8x)

Solution

f (x) = \frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x}

Solution

Domain : x < 0 or 0 < x < 2 or x > 2

Range : f (x) < - \frac{1}{2} or - \frac{1}{2} < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

X Intercepts : (- 3, 0)

Asymptotes : Vertical x = 2, Horizontal y = - \frac{1}{2}

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, 2) \cup (2, \infty)

Range : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \frac{3}{4}) \cup (\frac{3}{4}, \infty)

Solution steps

Domain of

\frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x} : x < 0 or 0 < x < 2 or x > 2

Range of

\frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x} : f (x) < - \frac{1}{2} or - \frac{1}{2} < f (x) < \frac{3}{4} or f (x) > \frac{3}{4}

Axis interception points of

\frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x} :

X Intercepts

: (- 3, 0)

Asymptotes of

\frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x} :

Vertical

: x = 2,

Horizontal

: y = - \frac{1}{2}

Extreme Points of

\frac{2 x ^{2} + 6 x}{- 4 x ^{2} + 8 x} :

None

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Frequently Asked Questions (FAQ)

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