Can you explain which function rule represents the table below x -3-2-1 0 1 y 1-2-5-8 11

Answer 1

To determine the function rule that represents the given table, let's analyze the pattern between the values of x and y.

Notice that as x increases by 1, y decreases by 3. This indicates that there is a constant rate of change between x and y, specifically a rate of change of -3.

With this information, we can assume that the function rule is of the form y = mx + b, where m represents the rate of change (-3) and b represents the y-intercept.

To determine the value of b, we can substitute one pair of values from the table (0, -8 or -1, -5, for example) into the equation:

-8 = -3(0) + b
-8 = 0 + b
b = -8

So now we have the function rule:

y = -3x - 8

Answer 2

Thank you

Answer 3

You're welcome! If you have any more questions, feel free to ask.