Hello, I need help with a couple calculus hw questions, thank you!

6. Given f(x) = xvx + 2, x E [-2,00) (8+5 pts) a) Find the intervals on which the graph of the function is concave up / concave down (make use of the sign chart for f"(x) ) b) Find all inflection points (if there are any; make use of the sign chart for f"(x) )7. Find the point on the line y= -6x +9 that is closest to the point (-3,1). (Hint: Express the square of the distance between the points (-3, 1) and (x,y), where (x,y) lies on the line, in terms of x only; then use the derivatives to minimize the function obtained.) Give an exact answer involving fractions; do not round. The methods of analytical geometry do not involve using derivatives and will not be tolerated here, so you will get no points. (10 pts)