Answer:
The given linear function is y = 27x + 9, where the domain is x > -10. To determine the range of this function, we need to find the possible values for y.
Since the coefficient of x is positive (27), as x increases, y will also increase. Therefore, there is no upper bound for the range.
To find the lower bound of the range, we need to find the minimum value of y. In this case, since x > -10, we can take x = -10 as the smallest value in the domain.
Plugging x = -10 into the function, we get:
y = 27(-10) + 9 y = -270 + 9 y = -261
Therefore, the range of the function y = 27x + 9, where x > -10, is (-∞, -261] (all real numbers less than or equal to -261).