Look at the table:
X y
0 -2
1 -4
2 -8
3 -16
4 -32
Write a linear function (y = mx + b) or an exponential function (y = a(b)^x) that models the data.
y = blank
This table shows a pattern where y is constantly being multiplied by a factor of -2 with each value of x. Therefore, this pattern suggests an exponential function.
Using the formula for exponential growth/decay, we can write the function as y = a(b)^(x), where a is the initial value and b is the common ratio.
In this case, the initial value is -2 (y = -2 when x = 0) and the common ratio is -2.
Therefore, the exponential function that models the data is:
y = -2(-2)^x