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

#1**+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

#1**+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