1. the table shows a function. x 0 1 2 3 5 13 21 29 37 45 53 (a) is the function linear, exponential, or neither? (b) what is the pattern that you observe in the table? (for example: adding 5 each time x increases by 1, dividing by 2 each time x increases by 3) if there is no pattern, show that there is no pattern. (c) what is the y-intercept of the function represented by the table? (be sure to write as an ordered pair)

a) Linear function

 b) adding 8 each time x increases by 1

c) (0,13)

Step-by-step explanation:

For the given table, the rate of change is constant throughout the table.

The rate of change =

Similarly we can check for every interval, the rate of change remains constant .

Thus, it is a linear function and the pattern we observe here is "adding 8 each time x increases by 1".

We know that the ordered pair of y intercept = (0,y)

In the table at x=0, y=13

hence, the y intercept of the given function is (0,13)