2025 IGCSE Additional Mathematics February/March 0606/22 Q5

When \(\mathrm{e}^y\) is plotted against \(x^2\), a straight-line graph with gradient \(-3\) is obtained.

The line passes through the point \((4.30,5.85)\).

1. Find \(y\) in terms of \(x\).[4]
2. Find the values of \(x\) for which \(y\) exists.[3]