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Popular >

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

Solution

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

Solution

Domain : - \infty < t < \infty

Range : f (t) \leq \frac{4}{27}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (ln (\frac{3}{2}), \frac{4}{27})

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Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{4}{27}]

Solution steps

Domain of

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

Range of

e^{- 2 t} - e^{- 3 t} : f (t) \leq \frac{4}{27}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(ln (\frac{3}{2}), \frac{4}{27})

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