12.5.25 daily math review due: december 19 at 3:00 pm grade: 25% functions and models the function is linear…

12.5.25 daily math review due: december 19 at 3:00 pm grade: 25% functions and models the function is linear because as x increases, the y values change . the of this function is additively multiplicatively submit answer attempt 1 out of 2 x | 2 | 3 | 4 | 5 f(x) | -28 | -31 | -34 | -37

12.5.25 daily math review due: december 19 at 3:00 pm grade: 25% functions and models the function is linear because as x increases, the y values change . the of this function is additively multiplicatively submit answer attempt 1 out of 2 x | 2 | 3 | 4 | 5 f(x) | -28 | -31 | -34 | -37

Answer

Explanation:

Step1: Check the change in f(x)

Calculate the difference between consecutive f(x) values. For ( x = 2 ) to ( x = 3 ): ( -31 - (-28) = -3 ). For ( x = 3 ) to ( x = 4 ): ( -34 - (-31) = -3 ). For ( x = 4 ) to ( x = 5 ): ( -37 - (-34) = -3 ).

Step2: Determine the type of change

Since the change in ( f(x) ) (the difference) is constant ((-3)) for each increase in ( x ) by 1, the function changes additively (because we add a constant difference each time, not multiply by a constant factor).

Answer:

The function is linear because as ( x ) increases, the ( y )-values change additively. The rate of change (slope) is (-3) (calculated from the constant difference in ( f(x) ) values: (-31 - (-28) = -3), (-34 - (-31) = -3), (-37 - (-34) = -3)). So the blanks should be filled with "additively" and the rate of change is (-3) (though the question's second blank context might just need identifying the additive change, so the key part is recognizing the additive change for the linear function).