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Popular Calculus >

f(x)=e^{x^2-4}

Solution

f (x) = e^{x^{2} - 4}

Solution

Domain : - \infty < x < \infty

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

Y Intercepts : (0, \frac{1}{e ^{4}})

Asymptotes : None

Extreme Points : Minimum (0, \frac{1}{e ^{4}})

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

e^{x^{2} - 4} : - \infty < x < \infty

Range of

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

Axis interception points of

e^{x^{2} - 4} :

Y Intercepts

: (0, \frac{1}{e ^{4}})

Asymptotes of

e^{x^{2} - 4} :

None

Extreme Points of

e^{x^{2} - 4} :

Minimum

(0, \frac{1}{e ^{4}})

Graph

Popular Examples

(\partial)/(\partial x)(x^2+y^2-4y)

\frac{\partial}{\partial x} (x^{2} + y^{2} - 4 y)

derivative of (2x)/(x^2-4)

d er i v a t i v e \frac{2 x}{x ^{2} - 4}

integral of-8x^{-9}

\int - 8 x^{- 9} d x

integral of 0.733xe^{-0.27x}

\int 0.733 x e^{- 0.27 x} d x

integral of 18xcos(3x)

\int 18 x cos (3 x) d x

Frequently Asked Questions (FAQ)

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