Which linear function has the greatest initial value and change.

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.

5

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.