# Range of a function?

• Dec 18th 2009, 01:20 PM
iluvmathbutitshard
Range of a function?
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.
• Dec 18th 2009, 01:26 PM
11rdc11
Quote:

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 $(4, \infty)$
• Dec 18th 2009, 01:30 PM
bigwave
by adding 4 you shift the graph up 4 units
• Dec 18th 2009, 01:43 PM
Raoh
Quote:

Originally Posted by 11rdc11
No the range would be $(4, \infty)$

http://www4c.wolframalpha.com/Calcul...image/gif&s=57
• Dec 18th 2009, 02:00 PM
Raoh
hi(Happy)
i think for every real $x$ your function is strictly positive,
$\forall x\in \mathbb{R},f(x)> 0$.
therefore the range is $(0,+\inf)$.