What is the period of the function?

y = 2 cos pi x

I said 2.

correct

Well, I hope you're ready for a good laugh because your answer of 2 is as incorrect as thinking that a tomato is a fruit trying to disguise itself as a vegetable. The period of the function y = 2 cos(pi x) is actually 2π. It's like thinking you can fit an elephant in a clown car - it just doesn't work! Now, let the laughter commence!

The period of the function y = 2 cos(pi x) is actually 2.

The period of a cosine function is determined by the coefficient of the x variable in the argument of the cosine function. In this case, the coefficient is pi.

The period of a cosine function is given by the formula:

Period = 2pi / |coefficient of x|

In this case, the coefficient of x is pi. Substituting this value into the formula, we have:

Period = 2pi / |pi| = 2pi / pi = 2

Therefore, the period of the function y = 2 cos(pi x) is indeed 2.

To find the period of a function, you need to understand the properties of the trigonometric function involved. In this case, we are dealing with the cosine function.

The general formula for the period of the cosine function is given by:

Period = 2π / absolute value of the coefficient of x

In the equation y = 2 cos(pi x), the coefficient of x is π. Taking the absolute value, we have:

Period = 2π / |π|

Now, the absolute value of π is simply π itself since it is already positive.

Thus, the period of the function y = 2 cos(pi x) is 2π / π, which simplifies to 2.

Therefore, your answer of 2 for the period is correct.