What is the f(x)=(x-1)e^{x^2-4} ?

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f(x)=(x-1)e^{x^2-4}

f (x) = (x - 1) e^{x^{2} - 4}

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

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

Asymptotes : None

Extreme Points : None

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x - 1) e^{x^{2} - 4} : - \infty < x < \infty

Range of

(x - 1) e^{x^{2} - 4} : - \infty < f (x) < \infty

Axis interception points of

(x - 1) e^{x^{2} - 4} :

X Intercepts

: (1, 0),

Y Intercepts

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

Asymptotes of

(x - 1) e^{x^{2} - 4} :

None

Extreme Points of

(x - 1) e^{x^{2} - 4} :

None

\frac{d y}{d x}, x y - 4 x = 5

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\frac{x ^{2}}{2 - x ^{2}}

\int_{1}^{9} \frac{x - 2}{x} d x

x \to 0 lim (\frac{x}{x ^{2} + 2 x})