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

$a=\dfrac{\pi}{2}$

Therefore your answer:

$\boxed{f(x)=2\sin\left(\dfrac{\pi}{2}x\right)}$