(Solved): 2. ( 2 pts) Sketch and label a function \( f \) with the following four properties: \[ f(1)=3 \] \( ...

2. ( 2 pts) Sketch and label a function \( f \) with the following four properties: \[ f(1)=3 \] \( f(x)=0 \) in exactly two places (in other words, there are two \( x \)-intercepts) \( f \) is decreasing on \( [0,3] \) (the interval from \( x=0 \) to \( x=3 \) ) \( f \) is increasing on \( (-\infty, 0] \) and \( [3, \infty) \) 7. (1 pt) Below is the graph of a function \( g \) (assume the graph continues off the page). Give the interval(s) where \( g \) is increasing, and give the interval(s) where \( g \) is decreasing.