F(X) TO F'(X)

1. The function of increasing where the output is positive. So at intervals (-2 , o ) U (0 , 2)is where the function is increasing. It is decreasing then the y- output is negitive , so at X=( - oo -2 )and( 2, 00) . You can tell that f(x) is increasing or decreasing because f(x) tells you the positions of the graph.
2. There is an Max extrema around positive and negative 1.3 since there is not other points at a higher point. And a Min - Extrema at X=0 because that is the lowest point on the graph. Negitive and postitive 2 cannot be an extrema because itll just keep going down.
3. Refering to the graph its concave up at (-2,-1) and (0,1) and concave down at (-1,0) and (1,2). You can conclude these concavities by looking at the velocity's slope Refering to the theorm stating about the rule of concavities.
4. Iono , I think its a x^4 function. Because of the position of the graph.