IB Functions Problem 024

Consider \(f(x) = 2 - x^2\), for \(-2 \leq x \leq 2\), and \(g(x)= \sin\,e^x\), for \(-2 \leq x \leq 2\).

The graph of \(f(x)\) is given below.

image essential to understanding the question

  1. On the diagram above, sketch the graph of \(g\).
  2. Solve \(f(x) = g(x)\).
  3. Write down the set of values of \(x\) such that \(f(x) > g(x)\).
Published by Annie Bernatchez in «functions». Key Words: IB, question