Question

A "periodic function is given by a function which

satisfies f(t+T)=f(t)

satisfies f(t+T)= -f(t)

has a period T=21

has a period T=21​

Answer 1

Answer:

satisfies f(t+T)=f(t)

Answer 2

Answer:

• the function, and t is the time. The period of a function is the amount of time it takes for the function to repeat itself. If a function satisfies the equation f(t+T) = f(t), it is called an even periodic function, meaning it has a symmetrical shape about the y-axis.
• On the other hand, if a function satisfies the equation f(t+T) = -f(t), it is called an odd periodic function, meaning it has a symmetrical shape about the origin. In both cases, the function has the same shape for each period T, and the value of T is constant for a given periodic function.
• In this case, the periodic function has a period of T=21, which means that it repeats itself every 21 units of time. This means that if we plot the function at time t=0, then it will have the same shape at time t=21, t=42, and so on. The periodic function can be represented by a waveform, with the period T representing the wavelength of the wave.
• In conclusion, a periodic function is a repeating pattern that has a constant period T and can be either even or odd in shape. The equation f(t+T) = f(t) or f(t+T) = -f(t) can be used to define the periodic function and determine its period T.

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