Consider each table of values of the three functions, f & h none f & g g & h all three represent linear relationships

Of the three functions g and h represent linear relationship.

Step-by-step explanation:

If a function has constant rate of change for all points, then the function is called a linear function.

If a lines passes through two points, then the slope of the line is

The slope of function f(x) on [1,2] is

The slope of function f(x) on [2,3] is

Since f(x) has different slopes on different intervals, therefore f(x) does not represents a linear relationship.

From the given table of g(x) it is clear that the value of g(x) is increased by 8 units for every 2 units. So, the function g(x) has constant rate of change, i.e.,

From the given table of h(x) it is clear that the value of h(x) is increased by 6.8 units for every 2 units. So, the function h(x) has constant rate of change, i.e.,

Since the function g and h have constant rate of change, therefore g and h represent linear relationship.

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step-by-step explanation: