DQ 4 Algebra! Thank you for your help!

label Algebra
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  • How can the graph of f(x) = 3^x be used to obtain an estimate of the square root of 3? 
Jun 16th, 2015

Thank you for the opportunity to help you with your question!

         

First note that like all exponential functions f (0) = 1

now f(1) = 3

So for some value of x  between  0 and 1 (say a)  f (a) = √3 because the function is continuous.

Now since f (½)  = 3 ^ ½  =  √3,

we have to find the y- value (height) that corresponds to x = ½  on the graph of the function y = 3 ^x.

This should be roughly  1.73


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 16th, 2015

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Jun 16th, 2015
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