Two functions, function a and function b, are shown below: function a: x y 7 21 8 24 9 27 function b: (graph attachment below) which statement best compares the rate of change of the two functions? a. the rate of change for both functions are 2 b. the rate of change for both functions are 3 c. the rate of change of function a is greater than the rate of change of function b d. the rate of change of function b is greater than the rate of change of function a

Answer is C.

Step-by-step explanation:

Rate of change of function A  is (24- 21)/ 1  = (17-24)/1 = 3.

Rate of change of function B = slope of the line = rise/run = 4/2

= 2

C. The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

Given are two functions A and B.

A is given in table form and B in graph.

From the table for A we find that y =3x i.e. rate of change of y with respect to x =3

Table B graph shows the points as (2,4) (3,6) and (4,8) thus we find y =2x

Rate of change =2

C. The rate of change of function A is greater than the rate of change of function B

is correct.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

the first option is the answer.