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Popular Functions >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq e^{\frac{3}{4}}

Y Intercepts : (0, e)

Asymptotes : None

Extreme Points : Minimum (\frac{1}{2}, e^{\frac{3}{4}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [e^{\frac{3}{4}}, \infty)

Solution steps

Domain of

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

Range of

e^{x^{2} - x + 1} : f (x) \geq e^{\frac{3}{4}}

Axis interception points of

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

Y Intercepts

: (0, e)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{1}{2}, e^{\frac{3}{4}})

Graph

Popular Examples

f(x)=(-x^2-3x+4)/(2x+1)

f(x)=x^4+2x^3-3x^2

r(x)=(6x^2-13x+7)/(x+1)

f(x)=(3x^2-x-2)/(5x^2+4x+1)

Frequently Asked Questions (FAQ)

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