As \(x\to -\infty\), \(f(x)\to -\infty\) and as \(x\to \infty\), \(f(x)\to -\infty\).
As \(x\to -\infty\), \(g(x)\to -\infty\) and as \(x\to \infty\), \(g(x)\to \infty\).
As \(x\to -\infty\), \(h(x)\to \infty\) and as \(x\to \infty\), \(h(x)\to -\infty\).
\(x=0\) odd multiplicity As \(x\to -\infty\), \(k(x)\to -\infty\) and as \(x\to \infty\), \(k(x)\to \infty\) Maximum number of turning points is 2.
\(x=0\) odd multiplicity, \(x=4\) even multiplicity As \(x\to -\infty\), \(g(x)\to \infty\) and as \(x\to \infty\), \(g(x)\to -\infty\) Maximum number of turning points is 3.
\(x=0\) even multiplicity, \(x=-\dfrac{3}{2}\) even multiplicity As \(x\to -\infty\), \(h(x)\to \infty\) and as \(x\to \infty\), \(h(x)\to \infty\) Maximum number of turning points is 3.
The correct graph is d)