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Popular >

f(x)=(2x^3-250)/(x^2-2x-15)

Solution

f (x) = \frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15}

Solution

Domain : x < - 3 or - 3 < x < 5 or x > 5

Range : f (x) \leq - \frac{2 ( 38 + 19 )}{19} or f (x) \geq \frac{2 ( 38 - 19 )}{19}

Y Intercepts : (0, \frac{50}{3})

Asymptotes : Vertical x = - 3, Slant y = 2 x + 4

Extreme Points : Maximum (- 3 - 19, - 2 (1 + 219)), Minimum (- 3 + 19, 2 (219 - 1))

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 5) \cup (5, \infty)

Range : (- \infty, - \frac{2 ( 38 + 19 )}{19}] \cup [\frac{2 ( 38 - 19 )}{19}, \infty)

Solution steps

Domain of

\frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15} : x < - 3 or - 3 < x < 5 or x > 5

Range of

\frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15} : f (x) \leq - \frac{2 ( 38 + 19 )}{19} or f (x) \geq \frac{2 ( 38 - 19 )}{19}

Axis interception points of

\frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15} :

Y Intercepts

: (0, \frac{50}{3})

Asymptotes of

\frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15} :

Vertical

: x = - 3,

Slant

: y = 2 x + 4

Extreme Points of

\frac{2 x ^{3} - 250}{x ^{2} - 2 x - 15} :

Maximum

(- 3 - 19, - 2 (1 + 219)),

Minimum

(- 3 + 19, 2 (219 - 1))

Popular Examples

y=-1/2 (2x+1)(2x-5)

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

f (x) = (x + 3)^{2} - 7

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

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

f(t)=t^4-12t^3+48t^2-64t

f (t) = t^{4} - 12 t^{3} + 48 t^{2} - 64 t

f(x)=0.002x^3-0.05x^2+0.1x-11

f (x) = 0.002 x^{3} - 0.05 x^{2} + 0.1 x - 11

Frequently Asked Questions (FAQ)

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