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Popular >

P(x)=16x^3-16x^2-x

Solution

P (x) = 16 x^{3} - 16 x^{2} - x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{2 + 5}{4}, 0), (\frac{2 - 5}{4}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{4 - 19}{12}, \frac{19 19 - 82}{54}), Minimum (\frac{4 + 19}{12}, - \frac{82 + 19 19}{54})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

16 x^{3} - 16 x^{2} - x : - \infty < x < \infty

Range of

16 x^{3} - 16 x^{2} - x : - \infty < f (x) < \infty

Axis interception points of

16 x^{3} - 16 x^{2} - x :

X Intercepts

: (0, 0), (\frac{2 + 5}{4}, 0), (\frac{2 - 5}{4}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

16 x^{3} - 16 x^{2} - x :

None

Extreme Points of

16 x^{3} - 16 x^{2} - x :

Maximum

(\frac{4 - 19}{12}, \frac{19 19 - 82}{54}),

Minimum

(\frac{4 + 19}{12}, - \frac{82 + 19 19}{54})

Popular Examples

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u (x) = 80 x - x^{2} - (650 + 8 x)

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f (x) = \frac{2 x ^{2} + 5 x - 2}{2 x - 7}

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f(t)=(e^{t+1}}{t+1}-\frac{e^t)/t

f (t) = \frac{e ^{t + 1}}{t + 1} - \frac{e ^{t}}{t}

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

Frequently Asked Questions (FAQ)

What is the P(x)=16x^3-16x^2-x ?
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