Question

1. The table shows a function.

Answer 1

Answer: 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 = $\frac{change\ in\ y}{change\ in\ x}=\frac{21-13}{1-0}=8$

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)