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Popular >

y=((sqrt(x)))/((5^x))

Solution

y = \frac{( x )}{( 5 ^{x} )}

Solution

Domain : x \geq 0

Range : 0 \leq f (x) \leq \frac{1}{5 ^{\frac{1}{2 l n ( 5 )}} 2 ln ( 5 )}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (\frac{1}{2 ln ( 5 )}, \frac{1}{5 ^{\frac{1}{2 l n ( 5 )}} 2 ln ( 5 )})

+1

Interval Notation

Domain : [0, \infty)

Range : [0, \frac{1}{5 ^{\frac{1}{2 l n ( 5 )}} 2 ln ( 5 )}]

Solution steps

Domain of

\frac{x}{5 ^{x}} : x \geq 0

Range of

\frac{x}{5 ^{x}} : 0 \leq f (x) \leq \frac{1}{5 ^{\frac{1}{2 l n ( 5 )}} 2 ln ( 5 )}

Axis interception points of

\frac{x}{5 ^{x}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{5 ^{x}} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{5 ^{x}} :

Minimum

(0, 0),

Maximum

(\frac{1}{2 ln ( 5 )}, \frac{1}{5 ^{\frac{1}{2 l n ( 5 )}} 2 ln ( 5 )})

Popular Examples

f (x) = (3 x - 5 x)

f (x) = 6 x^{2} - 11

f (x) = 22 x^{2} - x - 3

y = (x^{2} - 2)^{2} - 3

f(y)=y^3-y+y^2-sqrt(2)

f (y) = y^{3} - y + y^{2} - 2

Frequently Asked Questions (FAQ)

What is the y=((sqrt(x)))/((5^x)) ?
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