To determine the type of function that models the data, we need to observe the relationship between the x-values and y-values.
In this case, we see that as the x-values increase by 1, the y-values increase by a constant amount. A linear function represents a constant rate of change, so we can assume that the relationship is linear.
Next, we need to find the slope (m) and y-intercept (b) of the linear function.
From the table, we can see that when x = 3, y = ? (unknown), and when x = 2, y = ?. We can use these two points to find the slope:
slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)
= (? - ?) / (3 - 2)
= (? - ?) / (1)
Since there is no given information for y when x = 3 and when x = 2, we cannot find the slope or y-intercept. Therefore, we cannot write a linear function or an exponential function that models this data based on the given information.
Look at this table:
x y
3
–
2
4
–
5
5
–
8
6
–
11
7
–
14
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
1 answer