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Popular >

g(t)=t^5-6t^3+9t

Solution

g (t) = t^{5} - 6 t^{3} + 9 t

Solution

Domain : - \infty < t < \infty

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

X Intercepts : (0, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 3, 0), Minimum (- \frac{3}{5}, - (\frac{3}{5})^{\frac{5}{2}} + 6 (\frac{3}{5})^{\frac{3}{2}} - 9 \frac{3}{5}), Maximum (\frac{3}{5}, (\frac{3}{5})^{\frac{5}{2}} - 6 (\frac{3}{5})^{\frac{3}{2}} + 9 \frac{3}{5}), Minimum (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

t^{5} - 6 t^{3} + 9 t : - \infty < t < \infty

Range of

t^{5} - 6 t^{3} + 9 t : - \infty < f (t) < \infty

Axis interception points of

t^{5} - 6 t^{3} + 9 t :

X Intercepts

: (0, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

t^{5} - 6 t^{3} + 9 t :

None

Extreme Points of

t^{5} - 6 t^{3} + 9 t :

Maximum

(- 3, 0),

Minimum

(- \frac{3}{5}, - (\frac{3}{5})^{\frac{5}{2}} + 6 (\frac{3}{5})^{\frac{3}{2}} - 9 \frac{3}{5}),

Maximum

(\frac{3}{5}, (\frac{3}{5})^{\frac{5}{2}} - 6 (\frac{3}{5})^{\frac{3}{2}} + 9 \frac{3}{5}),

Minimum

(3, 0)

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Frequently Asked Questions (FAQ)

What is the g(t)=t^5-6t^3+9t ?
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