College Algebra with Analytic Geometry and Applications

Homework $1$

Problem $3$: Sketch a graph of a function that satisfies the following conditions $($note: there is no one unique answer$),$ and be sure to label all the points:

a$.$ a continuous function with an absolute minimum of $-3$ at $x=-2$ and a local minimum of $-1$ at $x=2.$

b$.$ a continuous function with no absolute extrema but with a local minimum of $-2$ at $x=-1$ and a local maximum of $2$ at $x=1.$

c$.$ a continuous function that is increasing on $(-,2)$ and decreasing on $(2,+).$