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Popular >

p(t)=4t^4+5t^3-t^2+6

Solution

p (t) = 4 t^{4} + 5 t^{3} - t^{2} + 6

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq - \frac{33323 + 1765 353}{32768} + 6

Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Minimum (\frac{- 15 - 353}{32}, - \frac{33323 + 1765 353}{32768} + 6), Maximum (0, 6), Minimum (\frac{- 15 + 353}{32}, \frac{1765 353 - 33323}{32768} + 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{33323 + 1765 353}{32768} + 6, \infty)

Solution steps

Domain of

4 t^{4} + 5 t^{3} - t^{2} + 6 : - \infty < t < \infty

Range of

4 t^{4} + 5 t^{3} - t^{2} + 6 : f (t) \geq - \frac{33323 + 1765 353}{32768} + 6

Axis interception points of

4 t^{4} + 5 t^{3} - t^{2} + 6 :

Y Intercepts

: (0, 6)

Asymptotes of

4 t^{4} + 5 t^{3} - t^{2} + 6 :

None

Extreme Points of

4 t^{4} + 5 t^{3} - t^{2} + 6 :

Minimum

(\frac{- 15 - 353}{32}, - \frac{33323 + 1765 353}{32768} + 6),

Maximum

(0, 6),

Minimum

(\frac{- 15 + 353}{32}, \frac{1765 353 - 33323}{32768} + 6)

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Frequently Asked Questions (FAQ)

What is the p(t)=4t^4+5t^3-t^2+6 ?
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