Which mappings is a function?

a. w

b. x

c. y

d. z

The correct answer is B). X

Step-by-step explanation:

Every function got a set of input values called " Domain " and a set of respective output values as " Range"

And function worked as Function( Input value ) = Output value

There are basic rules for function :

1. There always exist output value for every single input value.

2. Every input value should have one and only one output value

For W :

Rule 2 is violated

Here, Input value 6 result to two output value 2 and 4

For X :

No rule is violated

For Y :

Rule 2 is violated

Here, Input value 6 result to two output value 2 and 6

For Z :

Rule 2 is violated

Here, Input value 7 result to two output value 2 and 8

The correct answer is B). X

b is the final answer! : )

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).