Which function rule represents the table of values x -3-2-1 0 1 y -1 2 5 8 11 thank you
The function rule that represents the table of values is y = 3x + 2.
To determine the function rule that represents the given table of values, we need to examine the pattern between the x-values and the corresponding y-values.
From the table, we can observe that as the x-values increase by 1, the y-values also increase by 3.
Therefore, we can conclude that the function can be represented by a linear equation of the form y = mx + b, where "m" represents the slope and "b" represents the y-intercept.
To determine the slope (m), we can calculate the change in y divided by the change in x:
m = (change in y) / (change in x) = (8 - 5) / (0 - (-1)) = 3 / 1 = 3
Now, we need to find the y-intercept (b). We can do this by substituting the values of x and y from any given point in the table into the equation and solving for b.
Using the point (0, 5):
5 = (3)(0) + b
5 = b
So the y-intercept (b) is 5.
Hence, the function rule that represents the given table of values is y = 3x + 5.