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Popular >

y=3+e^{4x}-3x

Solution

y = 3 + e^{4 x} - 3 x

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 3 + \frac{3 - 3 ln ( \frac{3}{4} )}{4}

Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (\frac{ln ( \frac{3}{4} )}{4}, 3 + \frac{3 - 3 ln ( \frac{3}{4} )}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3 + \frac{3 - 3 ln ( \frac{3}{4} )}{4}, \infty)

Solution steps

Domain of

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

Range of

3 + e^{4 x} - 3 x : f (x) \geq 3 + \frac{3 - 3 ln ( \frac{3}{4} )}{4}

Axis interception points of

3 + e^{4 x} - 3 x :

Y Intercepts

: (0, 4)

Asymptotes of

3 + e^{4 x} - 3 x :

None

Extreme Points of

3 + e^{4 x} - 3 x :

Minimum

(\frac{ln ( \frac{3}{4} )}{4}, 3 + \frac{3 - 3 ln ( \frac{3}{4} )}{4})

Popular Examples

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f (x) = (ln (x))^{\frac{1}{x}}

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

Frequently Asked Questions (FAQ)

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