f(x) has a greater rate of change.
To determine the rate of change of a function, you look at the coefficient of x in the equation. In f(x)=9x-18, the coefficient of x is 9, which means the rate of change is 9. In g(x), the rate of change is the difference in the y-values for two different x-values. Looking at the table, the difference between x=-3 and x=2 is -8 - (-48) = 40, which is less than the rate of change of f(x). Therefore, f(x) has a greater rate of change.
A function, f, is represented by an equation and a linear function, g, is represented by a table of values. f(x)=9x−18f(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. There is not enough information given to determine each function's rate of change.
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