Find the range of values of \(m\) for which the straight line \(y=mx-5\) intersects the curve \(y=x^2-1\) in two distinct points.

The line meets the curve where

\[ mx-5=x^2-1,\]

which rearranges to

\[x^2-mx+4 = 0.\]

This has two distinct roots if the discriminant \(m^2 -16\) is positive, that is if \(m < -4\) or \(m > 4\).

This can be written as \(\big|m\big|>4\), using the modulus function.