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Popular >

f(x)=(sqrt(2x^2-8))/(3x)

Solution

f (x) = \frac{2 x ^{2} - 8}{3 x}

Solution

Domain : x \leq - 2 or x \geq 2

Range : - \frac{2}{3} < f (x) < \frac{2}{3}

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

Asymptotes : Horizontal y = \frac{2}{3}, y = - \frac{2}{3}

Extreme Points : Maximum (- 2, 0), Minimum (2, 0)

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Solution steps

Domain of

\frac{2 x ^{2} - 8}{3 x} : x \leq - 2 or x \geq 2

Range of

\frac{2 x ^{2} - 8}{3 x} : - \frac{2}{3} < f (x) < \frac{2}{3}

Axis interception points of

\frac{2 x ^{2} - 8}{3 x} :

X Intercepts

: (2, 0), (- 2, 0)

Asymptotes of

\frac{2 x ^{2} - 8}{3 x} :

Horizontal

: y = \frac{2}{3}, y = - \frac{2}{3}

Extreme Points of

\frac{2 x ^{2} - 8}{3 x} :

Maximum

(- 2, 0),

Minimum

(2, 0)

Popular Examples

y = 2 x^{2} + 7 x + 5

f(x)=x^4+3x^5-2x+6

f (x) = x^{4} + 3 x^{5} - 2 x + 6

y = 2 x e^{x}

f(x)=((2x+5))/((x-2))

f (x) = \frac{( 2 x + 5 )}{( x - 2 )}

y = 2 e^{x} - 1

Frequently Asked Questions (FAQ)

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