The rate of change is 0, the correct option is A.
What is a Function?
A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain, domain is all the value a function can have as an input and range is all the value that a function can have.
The x-y table is shown in the figure.
The rate of change of the function represented by the table has to be determined.
The rate of change is calculated by the ratio of the change in y value with respect to change in x value.
Rate of change = (f(x₂) - f(x₁)) / ( x₂ - x₁)
Here the two points of the function are,
(1,5) and (2,5)
Rate of change = ( 5-5) / (2-1)
Rate of change = 0 / 1 = 0
The rate of change for the function is 0.
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