Select the correct answer from each drop-down menu.
the table represents function f, and the graph represents function g.
-2
-1
x
f(x)
0
-5
1
-8
2
-9
3
-8
4
-5
7
0
the line of symmetry for function f is. y=9,y=-9,x=-2,x=2
and the line of symmetry for function g is. x=1,y=-7,x=-1,y=7
the y-intercept of function f. is less than, greater than, equal to
the y-intercept of function g.
over the interval [2, 4], the average rate of change of function f is. greater than, less then, equal to
the average rate of change of function g.

In triangle opq right angled at p op=7cm, oq-pq=1 determine the values of sinq and cosq

Cole says the distance between points (-5,0) and (0,-5)is 5 units. is he correct? explain why or why not.

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)