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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (1, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, 1]

Solution steps

Domain of

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

Range of

e^{- (x - 1)^{2}} : 0 < f (x) \leq 1

Axis interception points of

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

Y Intercepts

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

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(1, 1)

Popular Examples

f(x)=10x^2+40x+42

f (x) = 10 x^{2} + 40 x + 42

f (z) = z^{2} - z + 1

f (x) = - x \cdot 2

f(x)=(x+9)/(x^2-81)

f (x) = \frac{x + 9}{x ^{2} - 81}

f(x)=sqrt(3)sin(x)

f (x) = 3 sin (x)

Frequently Asked Questions (FAQ)

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