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Popular Functions >

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

Graph

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Frequently Asked Questions (FAQ)

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