Subjects algebra

Function Period

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1. The period of a function is the length of the smallest interval over which the function repeats its values. 2. For trigonometric functions like sine and cosine, the standard period is $2\pi$. 3. If the function is of the form $y = \sin(bx)$ or $y = \cos(bx)$, the period is given by the formula: $$\text{Period} = \frac{2\pi}{|b|}$$ 4. To find the period, identify the coefficient $b$ multiplying the variable $x$ inside the function. 5. Substitute $b$ into the formula and simplify to get the period. 6. Without the original function, the general rule is that the period depends on $b$ as above. 7. If you provide the function, I can calculate the exact period for you.