Question

Please help. ASAP.

PLEASE HELP
Question :
Write function for this.

Thanks.

Answer 1

It's a modification of sine function.

`y = \sin(x)` - the first picture.

The values of y are in <-2, 2>. Therefore we have

`y = 2\sin(x)` - the second picture.

The zeros of the function on the graph are 0, 2, 4, 6, ... → 2k, k ∈ Z

We know. The zeros of a sine are 0, π, 2π, 3π, ... → kπ, k ∈ Z

Therefore we have the equation:

`2ka=k\pi` divide both sides by 2k

`a=(\pi)/(2)`

Therefore your answer:

`\boxed{f(x)=2\sin\left((\pi)/(2)x\right)}`