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Popular >

y=(x^2)/((x-3)(x+4)(x+1))

Solution

y = \frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )}

Solution

Domain : x < - 4 or - 4 < x < - 1 or - 1 < x < 3 or x > 3

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = - 4, x = - 1, x = 3, Horizontal y = 0

Extreme Points : Minimum (- 1.71957 \dots, 0.38181 \dots), Maximum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, - 1) \cup (- 1, 3) \cup (3, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )} :

Vertical

: x = - 4, x = - 1, x = 3,

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )} :

Minimum

(- 1.71957 \dots, 0.38181 \dots),

Maximum

(0, 0)

Popular Examples

f(x)= 1/(x^2+4x+4)

f (x) = \frac{1}{x ^{2} + 4 x + 4}

y = 26 + x

f(s)=s^4+2s^3+3s^2+4s+5

f (s) = s^{4} + 2 s^{3} + 3 s^{2} + 4 s + 5

y = - 2 x^{2} + 5 x - 3

f(x)=-5cos(x)+3

f (x) = - 5 cos (x) + 3

Frequently Asked Questions (FAQ)

What is the y=(x^2)/((x-3)(x+4)(x+1)) ?
The y=(x^2)/((x-3)(x+4)(x+1)) is