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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2 2} + \frac{1}{4} \leq f (x) \leq \frac{1}{2 2} + \frac{1}{4}

X Intercepts : (2, 0), Y Intercepts : (0, \frac{1}{2})

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (2 (1 - 2), \frac{2 + 1}{4}), Minimum (2 (1 + 2), - \frac{2 - 1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2 2} + \frac{1}{4}, \frac{1}{2 2} + \frac{1}{4}]

Solution steps

Domain of

\frac{2 - x}{x ^{2} + 4} : - \infty < x < \infty

Range of

\frac{2 - x}{x ^{2} + 4} : - \frac{1}{2 2} + \frac{1}{4} \leq f (x) \leq \frac{1}{2 2} + \frac{1}{4}

Axis interception points of

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

X Intercepts

: (2, 0),

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(2 (1 - 2), \frac{2 + 1}{4}),

Minimum

(2 (1 + 2), - \frac{2 - 1}{4})

Popular Examples

limit as x approaches 0 of 1/x sinh(x)

x \to 0 lim (\frac{1}{x} sinh (x))

derivative of x^3(x-2^5)

\frac{d}{d x} (x^{3} (x - 2)^{5})

limit as x approaches-1 of 2/((2x+2)^2)

x \to - 1 lim (\frac{2}{( 2 x + 2 ) ^{2}})

derivative of f(x)= x/(x+b/x)derivative of

f (x) = \frac{x}{x + \frac{b}{x}}

tangent of f(x)=-2cos(x),\at x=-pi tangent of

f (x) = - 2 cos (x), at x = - π

Frequently Asked Questions (FAQ)

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