Need help with an algebra test about an x-axis

1.Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = x3 + 2x2 – x – 2

 
 
 

2.Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

f(x) = -2x
4 + 4x
3

 
 
 

3.Find the coordinates of the vertex for the parabola defined by the given quadratic function. 

f(x) = 2(x – 3)
2 + 1

 
 
 

4.Find the domain of the following rational function.

f(x) = x + 7/x
2 + 49