IB Functions Problem 018

Let the function be \(y = a\,\sin\,2x + c\), \(-180 \leq x \leq 180\), where \(x\) is measured in degrees.

The curve of the function is shown below.

image essential to understanding the question

  1. Write down:
    1. the period of this function;
    2. the amplitude of this function.
  2. Find the values of \(a\) and of \(c\).
  3. Find the \(x\)-intercept of the curve with the negative part of the \(x\)-axis.
Published by Annie Bernatchez in «functions». Key Words: IB, question