Question

FAN + MEDAL FOR ANSWER
The table below shows the values of y for each value of x:

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

Answer 1

Part A :- this not function , if we look on 2 points (1,-1),(1,-0) , you can see that x=1 you have 2 values to y , then this not function :-
the definition of function is , every x have at least one y

Answer 2

oh, that makes sense.

Answer 3

Sorry every x have one y (not at least ) it's have max one value y

Answer 4

the table don't represent a function relation .

Answer 5

Part B :-
you can see that we Jess in 6m from hoop he/she will not make basket.
the function represent the relation the distance the Jess stand , and the number of the baskets

f(4) = the number of baskets that Jess will made in distance 4m from hoop.
the answer is 2 , 2 represent the number of baskets

Answer 6

oh, thank you !

Answer 7

you understand C ?
or need explain

Answer 8

could you explain it to me, please ?

Answer 9

the input of the function is distance (meters) called him p
the output is number of baskets called him -p+6
(p,-6+p)

you can see that this function just defined in positive x and y or the first quarter,
depending on the meaning of X , x represent the distance which mean the distance is neutral number of 0,

Answer 10

the x interval :-
\[0 \le x \le 6\]
the interval of f(x) is
\[0 \le f(x) \le 6\]

Answer 11

oh, okay !