Let g(x) = f(t) dt, where ƒ is the function whose graph is given below. 0.4 0.2 - 3 -0.2- (a) At what values of x do the local maximum and minimum values of g occur? (b) On what intervals is g concave downward?

g(a)=a2 + a - 3where a0= 1, a1=2Above shows a function g(a) a. Sketch a graph of the function aboveb. Prove using the graph in a. above that the interval points at a0 & a1 have opposite signs.c. With the utilization of the secant method, do an estimation of the root preferably in four d.p(decimal places) of the equation that lies between the endpoints given.N.b iterations performed = twod. With the utilization of the bisection method, do an estimation of the root preferably in four d.p(decimal places) of the equation that lies between the endpoints given.N.b iterations performed = three

The graph (attached) shows the velocity of a bug moving along the x-axis on the interval 0 ≤ t ≤ 13. A. Is the bug speeding up or slowing down at t=8 B. On what interval is the bug moving right? C. When does the bug turn around? D. On what intervals is the bug speeding up?