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Popular >

f(x)=e^{x^2-5x-1}

Solution

f (x) = e^{x^{2} - 5 x - 1}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{1}{e ^{\frac{29}{4}}}

Y Intercepts : (0, \frac{1}{e})

Asymptotes : None

Extreme Points : Minimum (\frac{5}{2}, \frac{1}{e ^{\frac{29}{4}}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{e ^{\frac{29}{4}}}, \infty)

Solution steps

Domain of

e^{x^{2} - 5 x - 1} : - \infty < x < \infty

Range of

e^{x^{2} - 5 x - 1} : f (x) \geq \frac{1}{e ^{\frac{29}{4}}}

Axis interception points of

e^{x^{2} - 5 x - 1} :

Y Intercepts

: (0, \frac{1}{e})

Asymptotes of

e^{x^{2} - 5 x - 1} :

None

Extreme Points of

e^{x^{2} - 5 x - 1} :

Minimum

(\frac{5}{2}, \frac{1}{e ^{\frac{29}{4}}})

Popular Examples

f (x) = \frac{x}{3 x - 1}

y = \frac{x + 1}{x - 3}

y = e^{c x}

h (t) = 20 t - 5 t^{2}

f(x)=(9x+30)/(16x-44)

f (x) = \frac{9 x + 30}{16 x - 44}

Frequently Asked Questions (FAQ)

What is the f(x)=e^{x^2-5x-1} ?
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