In a sequence described by a function, what does the notation f(3) = 1 mean?
The notation f(3) = 1 represents the value of a function called ‘f’ when the input or independent variable is 3
The notation f(3) = 1 represents the value of a function called ‘f’ when the input or independent variable is 3. In other words, it means that when the value of the variable is 3, the function f produces an output or dependent variable value of 1.
To understand this further, let’s consider an example. Suppose we have a function defined as f(x) = x^2 + 2x – 3. If we calculate f(3), we substitute the value 3 in place of ‘x’ in the function equation:
f(3) = (3)^2 + 2(3) – 3 = 9 + 6 – 3 = 12
Hence, f(3) = 12. This means that when we input 3 into the function f, the output is 12.
It is important to note that function notation allows us to represent relationships between variables, where each input value corresponds to a unique output value. The notation f(3) = 1 simply specifies the output of the function f when the input is 3.
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