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Popular >

p(x)=-(x^3)/(15)+x^2+40x

Solution

p (x) = - \frac{x ^{3}}{15} + x^{2} + 40 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{15 + 5 105}{2}, 0), (\frac{15 - 5 105}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 10, - \frac{700}{3}), Maximum (20, \frac{2000}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- \frac{x ^{3}}{15} + x^{2} + 40 x : - \infty < x < \infty

Range of

- \frac{x ^{3}}{15} + x^{2} + 40 x : - \infty < f (x) < \infty

Axis interception points of

- \frac{x ^{3}}{15} + x^{2} + 40 x :

X Intercepts

: (0, 0), (\frac{15 + 5 105}{2}, 0), (\frac{15 - 5 105}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- \frac{x ^{3}}{15} + x^{2} + 40 x :

None

Extreme Points of

- \frac{x ^{3}}{15} + x^{2} + 40 x :

Minimum

(- 10, - \frac{700}{3}),

Maximum

(20, \frac{2000}{3})

Popular Examples

y = csc (3 x)

y = 1 + tan (x)

f(x)=sin(sin^2(x))

f (x) = sin (sin^{2} (x))

f (x) = x^{3} - x + 4

y = \frac{3}{2 x - 15}

Frequently Asked Questions (FAQ)

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