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Popular >

f(x)=x^3(4x^2-5x-6)

Solution

f (x) = x^{3} (4 x^{2} - 5 x - 6)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (2, 0), (- \frac{3}{4}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 115}{10}, \frac{368 115 - 3775}{500}), Saddle (0, 0), Minimum (\frac{5 + 115}{10}, - \frac{3775 + 368 115}{500})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} (4 x^{2} - 5 x - 6) : - \infty < x < \infty

Range of

x^{3} (4 x^{2} - 5 x - 6) : - \infty < f (x) < \infty

Axis interception points of

x^{3} (4 x^{2} - 5 x - 6) :

X Intercepts

: (0, 0), (2, 0), (- \frac{3}{4}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (4 x^{2} - 5 x - 6) :

None

Extreme Points of

x^{3} (4 x^{2} - 5 x - 6) :

Maximum

(\frac{5 - 115}{10}, \frac{368 115 - 3775}{500}),

Saddle

(0, 0),

Minimum

(\frac{5 + 115}{10}, - \frac{3775 + 368 115}{500})

Popular Examples

f (n) = n + 6

y = (cos (x))^{2}

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

f(x)=sqrt(x)^{sqrt(x)}e^{x^2}

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

y = 2 x^{2} - 7 x + 3

Frequently Asked Questions (FAQ)

What is the f(x)=x^3(4x^2-5x-6) ?
The f(x)=x^3(4x^2-5x-6) is