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# using a graph to find the missing value of a set notation?

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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.

Jul 26, 2017

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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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Jul 26, 2017

#1
+27342
+2

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