Range of a function?

**iluvmathbutitshard** · December 18th 2009, 12:20 PM

State the range of the function:
f(x) = 3^(x+9) + 4

I believe that the answer is:
(-1, infinity)

Am I correct?

Any help is appreciated.

**11rdc11** · December 18th 2009, 12:26 PM

Originally Posted by iluvmathbutitshard

State the range of the function:
f(x) = 3^(x+9) + 4

I believe that the answer is:
(-1, infinity)

Am I correct?

Any help is appreciated.

No the range would be $(4, \infty)$

**bigwave** · December 18th 2009, 12:30 PM

by adding 4 you shift the graph up 4 units

**Raoh** · December 18th 2009, 12:43 PM

Originally Posted by 11rdc11

No the range would be $(4, \infty)$

**Raoh** · December 18th 2009, 01:00 PM

hi

i think for every real $x$ your function is strictly positive,
$\forall x\in \mathbb{R},f(x)> 0$ .
therefore the range is $(0,+\inf)$ .

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