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Popular >

x=2t^3+4t^2+t

Solution

x = 2 t^{3} + 4 t^{2} + t

Solution

Domain : - \infty < t < \infty

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

X Intercepts : (0, 0), (\frac{- 2 + 2}{2}, 0), (- \frac{2 + 1}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 10}{6}, \frac{14 + 5 10}{27}), Minimum (\frac{- 4 + 10}{6}, \frac{14 - 5 10}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

2 t^{3} + 4 t^{2} + t : - \infty < f (t) < \infty

Axis interception points of

2 t^{3} + 4 t^{2} + t :

X Intercepts

: (0, 0), (\frac{- 2 + 2}{2}, 0), (- \frac{2 + 1}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 t^{3} + 4 t^{2} + t :

None

Extreme Points of

2 t^{3} + 4 t^{2} + t :

Maximum

(- \frac{4 + 10}{6}, \frac{14 + 5 10}{27}),

Minimum

(\frac{- 4 + 10}{6}, \frac{14 - 5 10}{27})

Popular Examples

f (x) = e^{3 x} + 64

f (x) = - 2 x + 48

f(y)= 1/((y^{2/y))}

f (y) = \frac{1}{( y ^{\frac{2}{y}} )}

f(x)=-5x^3+7x-1

f (x) = - 5 x^{3} + 7 x - 1

f(a)=3a^3+4a^2-12a+16

f (a) = 3 a^{3} + 4 a^{2} - 12 a + 16

Frequently Asked Questions (FAQ)

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