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Popular >

f(t)=3e^t+4t^2-2

Solution

f (t) = 3 e^{t} + 4 t^{2} - 2

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq 3 e^{- W_{0} (\frac{3}{8})} + 4 W_{0} (\frac{3}{8})^{2} - 2

Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Minimum (- W_{0} (\frac{3}{8}), 3 e^{- W_{0} (\frac{3}{8})} + 4 W_{0} (\frac{3}{8})^{2} - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3 e^{- W_{0} (\frac{3}{8})} + 4 W_{0} (\frac{3}{8})^{2} - 2, \infty)

Solution steps

Domain of

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

Range of

3 e^{t} + 4 t^{2} - 2 : f (t) \geq 3 e^{- W_{0} (\frac{3}{8})} + 4 W_{0} (\frac{3}{8})^{2} - 2

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- W_{0} (\frac{3}{8}), 3 e^{- W_{0} (\frac{3}{8})} + 4 W_{0} (\frac{3}{8})^{2} - 2)

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Frequently Asked Questions (FAQ)

What is the f(t)=3e^t+4t^2-2 ?
The f(t)=3e^t+4t^2-2 is