A function, f, is represented by an equation and a linear function, g, is represented by a table of values. f (x)=9x-27
Which statement is true about the rates of change of the two functions?
(1 point)
f left-parenthesis x right-parenthesis has a greater rate of change.
g left-parenthesis x right-parenthesis has a greater rate of change.
The two functions have equal rates of change.
There is not enough information given to determine each function’s rate of change.
31.
The rate of change for f (x)=9x-27 is constant, and is equal to 9.
The rate of change for g, which is a linear function, can be found by calculating the difference in y-values between any two given points on the table divided by the difference in their corresponding x-values. Therefore, without the table of values for g, we cannot determine its rate of change.
Therefore, the answer is: There is not enough information given to determine each function’s rate of change.
To find the rate of change of a function, you need to find the slope of the function, which can be represented as the coefficient of x in the equation.
For function f(x) = 9x - 27, the coefficient of x is 9. This means that for every increase of 1 in x, the value of the function increases by 9.
For the linear function g, the table of values is not given. Without any information about the values in the table, we cannot determine the rate of change of function g.
Therefore, the correct answer is: There is not enough information given to determine each function’s rate of change.