en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=e^x(x^2-1)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq e^{- 1 + 2} (2 - 22)

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1 - 2, e^{- 1 - 2} (2 + 22)), Minimum (- 1 + 2, e^{- 1 + 2} (2 - 22))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [e^{- 1 + 2} (2 - 22), \infty)

Solution steps

Domain of

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

Range of

e^{x} (x^{2} - 1) : f (x) \geq e^{- 1 + 2} (2 - 22)

Axis interception points of

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

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 1 - 2, e^{- 1 - 2} (2 + 22)),

Minimum

(- 1 + 2, e^{- 1 + 2} (2 - 22))

Popular Examples

f (a) = \frac{49}{a}

y = x^{2} + 3 x - 6

f (a) = tan (2 a + 1)

f (x) = 4^{x} + 2^{x}

g(x)=sqrt(4-3x^2)

g (x) = 4 - 3 x^{2}

Frequently Asked Questions (FAQ)

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