The table and graph shown below each represent a function of x.
Which function, A or B, has a greater rate of change? Be sure to include the values for the rates of change in your answer.

rate of change of A= 2

rate of change of B = 3

B has a greater rate of change

Step-by-step explanation:

In linear function, the rate of change is the same as the slope. To find slope you need to divide the difference of y coordinate with x coordinate of two points. The formula to find slope is:

m= (y2-y1)/ (x2-x1)

Function A have (1, 5) and (2, 7) coordinate. The rate of change will be:

m= (y2-y1)/ (x2-x1)

m= (7-5)/ (2-1)= 2/1

m= 2

Function B have (1, 1) and (2, 4) coordinate. The rate of change will be:

m= (y2-y1)/ (x2-x1)

m= (4-1)/ (2-1)= 3/1

m= 3

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph