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Popular >

y=-2+e^{3x}(4-2x)

Solution

y = - 2 + e^{3 x} (4 - 2 x)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - 2 + \frac{2 e ^{5}}{3}

X Intercepts : (\frac{W _{- 1} ( - \frac{3}{e ^{6}} ) + 6}{3}, 0), (\frac{W _{0} ( - \frac{3}{e ^{6}} ) + 6}{3}, 0), Y Intercepts : (0, 2)

Asymptotes : Horizontal y = - 2

Extreme Points : Maximum (\frac{5}{3}, - 2 + \frac{2 e ^{5}}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

- 2 + e^{3 x} (4 - 2 x) : - \infty < x < \infty

Range of

- 2 + e^{3 x} (4 - 2 x) : f (x) \leq - 2 + \frac{2 e ^{5}}{3}

Axis interception points of

- 2 + e^{3 x} (4 - 2 x) :

X Intercepts

: (\frac{W _{- 1} ( - \frac{3}{e ^{6}} ) + 6}{3}, 0), (\frac{W _{0} ( - \frac{3}{e ^{6}} ) + 6}{3}, 0),

Y Intercepts

: (0, 2)

Asymptotes of

- 2 + e^{3 x} (4 - 2 x) :

Horizontal

: y = - 2

Extreme Points of

- 2 + e^{3 x} (4 - 2 x) :

Maximum

(\frac{5}{3}, - 2 + \frac{2 e ^{5}}{3})

Graph

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