If the points (4, 10), (5, 13), and (-2, -8) lie on the graph of function h, then which of the following rules could represent the function? y = x^2 y = 3x + 2 y = 3x - 2 none of the above

Consider the function,

When x = 4,

Thus, point (4, 10) does not lie on the graph of the function.

Consider the function, y = 3x + 2

when x = 4, y = 3(4) + 2 = 12 + 2 = 14

Thus, point (4, 10) does not lie on the graph of the function.

Consider the function, y = 3x - 2

When x = 4, y = 3(4) - 2 = 12 - 2 = 10

Thus, point (4, 10) lie on the graph of the function.

When x = 5, y = 3(5) - 2 = 15 - 2 = 13

Thus, point (5, 13) lie on the graph of the function.

When x = -2, y = 3(-2) - 2 = -6 - 2 = -8

Thus, point (-2, -8) lie on the graph of the function.

Therefore, the rule that can represent the function is y = 3x - 2.

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