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Popular >

y= 1/15(x-3)(x-5)*e^x

Solution

y = \frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2 e ^{3 + 2} - 2 2 e ^{3 + 2}}{15}

X Intercepts : (3, 0), (5, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (3 - 2, - \frac{- 2 2 e ^{3 - 2} - 2 e ^{3 - 2}}{15}), Minimum (3 + 2, \frac{2 e ^{3 + 2} - 2 2 e ^{3 + 2}}{15})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{2 e ^{3 + 2} - 2 2 e ^{3 + 2}}{15}, \infty)

Solution steps

Domain of

\frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x} : - \infty < x < \infty

Range of

\frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x} : f (x) \geq \frac{2 e ^{3 + 2} - 2 2 e ^{3 + 2}}{15}

Axis interception points of

\frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x} :

X Intercepts

: (3, 0), (5, 0),

Y Intercepts

: (0, 1)

Asymptotes of

\frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x} :

Horizontal

: y = 0

Extreme Points of

\frac{1}{15} \cdot (x - 3) \cdot (x - 5) \cdot e^{x} :

Maximum

(3 - 2, - \frac{- 2 2 e ^{3 - 2} - 2 e ^{3 - 2}}{15}),

Minimum

(3 + 2, \frac{2 e ^{3 + 2} - 2 2 e ^{3 + 2}}{15})

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Frequently Asked Questions (FAQ)

What is the y= 1/15*(x-3)*(x-5)*e^x ?
The y= 1/15*(x-3)*(x-5)*e^x is