# The graph of f(x) = 10(1/2)^x is graphed. What is the range of the function?

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The graph of the function `f(x)=10(1/2)^x` is:

The range of the function is defined as all possible values of y. From the graph we can see that the range of y is y>0.

We can also tell from the function itself. As both 10 and 0.5 are positive numbers the function will never be equal to less than 0, and no value of x will make y=0.

**Sources:**

We have given

`y=10(1/2)^x`

since `(1/2)^x>0` for all values of x. Thus `y>0 AAx`

Thus range of y={x :`x in(0,oo)` ,x is real number}

`y!=0` for any value of x.

**The Graph of the y is shown above.Red line shows when `x<=0` and green line shows when `x>=0` **

**When x=0 then y=10.**