A function, f, is represented by an equation and a linear function, g, is represented by a table of values. f(x)=9x−18 x -3 2 5 g(x) -48 -8 16 Which statement is true about the rates of change of the two functions? (1 point) Responses f(x) has a greater rate of change. f(x) has a greater rate of change. g(x) has a greater rate of change. g(x) has a greater rate of change. The two functions have equal rates of change. The two functions have equal rates of change. There is not enough information given to determine each function's rate of change.

1 answer

f(x) has a greater rate of change.

This is because the slope of a linear function represents the rate of change, and the coefficient of x in f(x) is 9, which is greater than the slope values in the table for g(x) (-48, -8, 16). Therefore, f(x) has a greater rate of change than g(x).