Answer:
Part A: Function C
Part B: Function B
Step-by-step explanation:
Part A:
Initial value of function A is the value of at .
Therefore, at
So, initial value of function A is 0.
Initial value of function B is given as:
Therefore, initial value of function B is -1.
Initial value of function C as seen in the graph is 2 because at .
Hence, on comparing the initial values of the three functions, function C has the greatest initial value.
Part B:
Rate of change of a function is given as:
For function A,
Therefore,
For function B, the coefficient of represents rate of change of the function.
Therefore, rate of change of function B is .
For function C, consider two points on the graph. Let the points be
Therefore, rate of change,
On comparing all the 3 rate of change, function B has the greatest rate of change of value 3.