f(x) = (1/2)^x - 3
How do I graph this? as well as find the domain and range.

Question

f(x) = (1/2)^x - 3
How do I graph this?  as well as find the domain and range.

anonymous · Answer

anonymous · Answer

it looks like $y=\frac{1}{2^x}$ only shifted down 3 units

anonymous · Answer

domain is all real numbers, because you can raise $\frac{1}{2}$ to any power you like

shamil98 · Answer

So, the only way to graph this by a graphing calc/wolfram/online calc?

anonymous · Answer

range is $(-3,\infty)$ because no matter what $x$ is you know $(\frac{1}{2})^x>0$ and so 
$$(\frac{1}{2})^x-3>-3$$

anonymous · Answer

no you don't need wolfram if you have a general idea of what 
$$y=\frac{1}{2^x}=\left(\frac{1}{2}\right)^x=2^{-x}$$ looks like

anonymous · Answer

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shamil98 · Answer

Thank you. Was a bit confused with this.  That clarified it.