Let y = f (x) be a real function defined in a certain interval (a, b). Suppose that the value of the argument changes from x to x + h in the interval. Then the value of the function will change from f (x) to f (x + h). Thus a change Δx = (x + h) - x of the argument brings about a change
of the value of the function. See Figure 5.1. Using such notation, we can rewrite the definition of a continuous function as follows.
$$\Delta f(x) = f(x + h) - f(x) $$
KeywordsMathematical Analysis Real Function Open Interval Difference Quotient Concise Approach
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