Answer:
Hi,
12
Explanation:
13-1=12 is the period.
The period of a function is a concept often associated with periodic functions. A periodic function is a function f(x) that repeats its values in a regular, predictable pattern over a specific interval. The period is the length of that interval in the x-axis (the horizontal axis) over which the function repeats its values.
To determine the period of a function, you need to analyze its behavior and identify the smallest interval on which it repeats itself. The period of a function f(x)f(x) is typically denoted as P.
Here's how you can determine the period of a function:
Identify the function: First, make sure you have the function f(x) you want to analyze.
Look for a repeating pattern: Examine the behavior of the function over the x-axis. Look for any regular, repeated occurrences of the function's values. This could be peaks and troughs, waves, or other repeating features.
Find the smallest repeating interval: Determine the length of the smallest interval over which the function repeats itself. This interval is the period P.
Verify the periodicity: Check if the function f(x) indeed repeats itself over intervals of length P by confirming that f(x+P)=f(x) for all x.
Common examples of periodic functions include trigonometric functions like sine and cosine. The period of the sine function is 2π, and the period of the cosine function is also 2π. This means that for these functions, the values repeat every 2π units along the x-axis.
Keep in mind that not all functions are periodic, and some may not have a simple, repeating pattern. In such cases, there may not be a well-defined period.