Question: In each part sketch a continuous curve \(y=f(x)\) with the stated properties.

1. \(f(2)=4, f^{\prime}(2)=0, f^{\prime \prime}(x)<0\) for all \(x\)
2. \(f(2)=4, f^{\prime}(2)=0, f^{\prime \prime}(x)>0\) for \(x<2, \quad f^{\prime \prime}(x)<0\) for \(x>2\)
3. \(f(2)=4, f^{\prime \prime}(x)>0\) for \(x \neq 2\) and \(\lim _{x \rightarrow 2^{+}} f^{\prime}(x)=-\infty, \lim _{x \rightarrow 2-} f^{\prime}(x)=+\infty\)

Price: $2.99

Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document