Understanding Function Notation | f(3) = 1 and its Significance in Mathematics

In a sequence described by a function, what does the notation f(3) = 1 mean?

In mathematics, the notation f(3) = 1 represents the value of the function f when the input is 3

In mathematics, the notation f(3) = 1 represents the value of the function f when the input is 3. Essentially, it means that when you substitute the number 3 into the function f, the result or output will be 1.

To understand this better, let’s say we have a function f(x) = x^2. If we evaluate f(3), we substitute 3 in place of x in the function: f(3) = 3^2 = 9. Therefore, f(3) = 9.

In general, the notation f(a) represents the value of the function f when the input or independent variable is a. It provides a way to find the corresponding output or dependent variable of the function at a specific point.

More Answers:
Determining the Explicit Function of an Arithmetic Sequence | 4, 11, 18, 25…
Analyzing and Ordering Geometric Sequences Based on Common Ratios
Understanding Geometric Sequences | Identifying Form and Using the Formula

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