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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{2 14 + 7}{7}

X Intercepts : (- 4, 0), Y Intercepts : (0, 2)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 4 - 14, \frac{2 14 - 7}{7}), Minimum (- 4, 0), Maximum (- 4 + 14, \frac{2 14 + 7}{7})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{2 14 + 7}{7}]

Solution steps

Domain of

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

Range of

\frac{x + 4}{x ^{2} + x + 2} : 0 \leq f (x) \leq \frac{2 14 + 7}{7}

Axis interception points of

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

X Intercepts

: (- 4, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 4 - 14, \frac{2 14 - 7}{7}),

Minimum

(- 4, 0),

Maximum

(- 4 + 14, \frac{2 14 + 7}{7})

Popular Examples

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f (x) = \frac{3 x ^{4} - 2 x ^{3} + 16 x - 192}{x ^{2} - 8}

f(x)=x(x^3-x+10)

f (x) = x (x^{3} - x + 10)

f(x)=(x-1)/((x+3)(2x-5))

f (x) = \frac{x - 1}{( x + 3 ) ( 2 x - 5 )}

f(x)=ln(cos^5(3x^4))

f (x) = ln (cos^{5} (3 x^{4}))

g (x) = x^{2} + 6

Frequently Asked Questions (FAQ)

What is the f(x)=|(x+4)/(x^2+x+2)| ?
The f(x)=|(x+4)/(x^2+x+2)| is