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the domain of a linear relation is given by {x | -2 ≤ x ≤ m, x E i}. the range, in order, is given by {2, 6, 10, k, 18}. use a graphing approach to determine the smallest possible values of m and k.

Guest Jul 26, 2017

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 #1
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I assume that 'x E i' means x belongs to the integers.  For the smallest value of m we must have the smallest equal increments in x. In other words x must increase by 1 each time.  Thus the first three values of x are -2, -1 and 0, with the corresponding y values being 2, 6 and 10.  Plot these and then extrapolate with a straight line, then plot points where the line crosses the next two values of x to see what k and m must be:

 

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Alan  Jul 26, 2017
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 #1
avatar+26357 
+2
Best Answer

I assume that 'x E i' means x belongs to the integers.  For the smallest value of m we must have the smallest equal increments in x. In other words x must increase by 1 each time.  Thus the first three values of x are -2, -1 and 0, with the corresponding y values being 2, 6 and 10.  Plot these and then extrapolate with a straight line, then plot points where the line crosses the next two values of x to see what k and m must be:

 

.  

Alan  Jul 26, 2017

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