PLEASE HELP ASAP Of the three functions in the tables, which represent linear relationships?A. f and hB. all three functionsc. f and gD. g and h

Answer:A. f and hStep-by-step explanation:For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.For function f:The values of f(x) are: 5,8,11,14We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.For function g:The values of g(x) are: 8,4,16,32We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.For function h:The values of h(x) are: 28, 64, 100, 136We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.