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Popular >

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

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 2 or x > 2

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

Asymptotes : Vertical x = - 3, x = 2, Slant y = 2 x - 2

Extreme Points : Maximum (- 5.45340 \dots, - 18.01161 \dots), Minimum (- 0.25676 \dots, 0.81311 \dots), Maximum (0.56826 \dots, 0.90686 \dots), Minimum (3.14190 \dots, 8.13164 \dots)

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{2 x ^{3} - 5}{x ^{2} + x - 6} : x < - 3 or - 3 < x < 2 or x > 2

Range of

\frac{2 x ^{3} - 5}{x ^{2} + x - 6} : - \infty < f (x) < \infty

Axis interception points of

\frac{2 x ^{3} - 5}{x ^{2} + x - 6} :

X Intercepts

Y Intercepts

: (0, \frac{5}{6})

Asymptotes of

\frac{2 x ^{3} - 5}{x ^{2} + x - 6} :

Vertical

: x = - 3, x = 2,

Slant

: y = 2 x - 2

Extreme Points of

\frac{2 x ^{3} - 5}{x ^{2} + x - 6} :

Maximum

(- 5.45340 \dots, - 18.01161 \dots),

Minimum

(- 0.25676 \dots, 0.81311 \dots),

Maximum

(0.56826 \dots, 0.90686 \dots),

Minimum

(3.14190 \dots, 8.13164 \dots)

Popular Examples

f(x)=ln^{e^x}(x)

f (x) = ln^{e^{x}} (x)

f(x)=(x^9)/(90)+5/(14x^7),1<= x<= 2

f (x) = \frac{x ^{9}}{90} + \frac{5}{14 x ^{7}}, 1 \leq x \leq 2

f(x)=(1/2)^{x-4}

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

f(x)=|-2sin(-2x)+sqrt(2)|

f (x) = - 2 sin (- 2 x) + 2

y = x^{2} e^{3 x}

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^3-5)/(x^2+x-6) ?
The f(x)=(2x^3-5)/(x^2+x-6) is