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Popular >

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

Solution

f (x) = (\frac{2}{3})^{(x - 3)} - 2

Solution

Domain : - \infty < x < \infty

Range : f (x) > - 2

X Intercepts : (\frac{ln ( 2 )}{ln ( \frac{2}{3} )} + 3, 0), Y Intercepts : (0, \frac{11}{8})

Asymptotes : Horizontal y = - 2

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- 2, \infty)

Solution steps

Domain of

(\frac{2}{3})^{x - 3} - 2 : - \infty < x < \infty

Range of

(\frac{2}{3})^{x - 3} - 2 : f (x) > - 2

Axis interception points of

(\frac{2}{3})^{x - 3} - 2 :

X Intercepts

: (\frac{ln ( 2 )}{ln ( \frac{2}{3} )} + 3, 0),

Y Intercepts

: (0, \frac{11}{8})

Asymptotes of

(\frac{2}{3})^{x - 3} - 2 :

Horizontal

: y = - 2

Extreme Points of

(\frac{2}{3})^{x - 3} - 2 :

None

Popular Examples

y= 1/(v^2)-2/(v^4)

y = \frac{1}{v ^{2}} - \frac{2}{v ^{4}}

y=x^3+3x^2+5x-6

y = x^{3} + 3 x^{2} + 5 x - 6

y = \frac{- 2}{3} x - 4

y = - x^{2} + 5 x - 4

y = 4 x^{2} + 3 x + 1

Frequently Asked Questions (FAQ)

What is the f(x)=(2/3)^{(x-3)}-2 ?
The f(x)=(2/3)^{(x-3)}-2 is