Question

se the drawing tool to form the correct answers on the provided grid. For the sequence (1, 2, 4, 8, . . .), the index starts at 1. Let f be the function that describes this sequence. Graph as much of function f as will fit on the grid.

Answer 1

The index starts at 1, so the domain of the function is D = {1, 2, 3, 4, 5, 6, . . .}. The sequence is based on the add 3 rule. So, to get more terms of the sequence, add 3 to the last term to get the next one. The range values include the terms of the sequence, so the range is R = {1, 4, 7, 10, 13, 16, . . .}.

To graph the function of this sequence on a coordinate plane, pair the domain values with the corresponding range values to get {(1, 1), (2, 4), (3, 7), (4, 10), (5, 13), (6, 16), . . .}. Then plot these points on the graph.

Explanation:

Answer 2

See attached

Explanation:

For each increase of 1 in the index, the function value doubles. The size of the function value rapidly exceeds the limit of any linear grid.

We've shown a few points plotted. Perhaps it will give you the idea of what you need to do.