How do you find the period of a function?
You are looking for the length of time it takes a function to repeat. If you have uniform waves on a cartesian plane, the period is the length of time it takes the wave to repeat itself.
The graph I have the space between each function is 3, but the answer is 6. How did it get to six?
Double check that you started from the top of the wave and went all the way back to the top of the wave. Or the start of the shape, then went ALL the way back to the start of the shape (when it starts to repeat itself).
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I see, thank yall!
To find the period of a function, you need to follow these steps:
1. Understand the concept of period: The period of a function is the distance it takes for the function to repeat its pattern. In other words, it is the length of one complete cycle of the function.
2. Determine if the function is periodic: Not all functions are periodic. Some functions, such as linear functions or exponential functions, do not repeat their pattern. So, before finding the period, make sure that the function you are dealing with is periodic.
3. Identify the basic pattern: To find the period, you need to identify the basic pattern that repeats in the function. Look for any characteristic shapes, oscillations, or repetitions in the graph or equation of the function.
4. Use the formula for the period: Once you have identified the basic pattern, you can use the appropriate formula to calculate the period for different types of functions:
- For trigonometric functions (sine, cosine, tangent, etc.), the period is given by the formula: period = 2π / b, where b is the coefficient of x or the angular frequency.
- For exponential functions, the period is given by the formula: period = (ln(2)) / |a|, where a is the coefficient of x in the function.
- For logarithmic functions, the period is undefined since they do not repeat their pattern.
- For other types of periodic functions, you may need to use different formulas or methods specific to that type of function.
5. Evaluate the formula: Finally, substitute the appropriate values into the formula for the period and simplify the expression to find the numerical value of the period.
Remember that the period represents a distance or length, so it should always be positive.