Determine whether each relation represents a function. for each function, state the domain and range.
1) {(2,6), (-3,6), (4,9), (1,10)}
2) {(1,3), (2,3), (3,3), (4,3)}
3) {(-2,4), (-2,6), (0,3), (3,7)}
4) {(-2,4), (-1,1), (0,0), (1,1)}

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Which of the following describes the symmetry of the graph of y = x3?

If w = 6 units, x = 3 units, and y = 5 units, what is the surface area of the figure? 168 units2 240 units2 144 units2 96 units2