A function assigns the value of each element of one set to the other specific element of another set. The given set of numbers {(0, 0.4), (1, 0.8), (2, 1.2), (3, 1.6)} is a function.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
Slope between (0, 0.4) and (1, 0.8),
Slope = (0.8-0.4)/(1-0) = 0.4
Slope between (1, 0.8) and (2, 1.2),
Slope = (1.2 - 0.8)/(2-1) = 0.4
Slope between (2, 1.2) and (3, 1.6),
Slope = (1.6 - 1.2)/(3-2) = 0.4
Thus, The given set of numbers {(0, 0.4), (1, 0.8), (2, 1.2), (3, 1.6)} is a function, this is because, for each different value of x, the y has a different variable. Also, the slope between any two points is the same.
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