Question

HELP PLEASE!!!


The table below shows the values of y for each value of x.

Answer 1

The table below shows the values of y for each value of x.


x
y
1
0
1
-1
2
1
2
-2


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 2

The table: x=1,1,2,2,
y=0,-1,1,-2

Answer 3

Naturegirl, remember that for a relation to be a function, a value of x should always pinpoint a single value of y. For example, x=1 might give y=2 and y=1 for a relation, but it will give only y=2 or only y=1 for a function.

Answer 4

That's for the first part. For the 2nd part, put the value of x=4 to get f(4) , tell me what you get?

Answer 5

f(x)=-4+6=2. Is that right?

Answer 6

Yes, now that means Jess made 2 baskets when the distance from the hoop was 4 meters.

Answer 7

Also, did you solve the first part?

Answer 8

No, I did not solve the first part. I was confused. I get the second part, but i still need help with part a.

Answer 9

Okay , let us first observe x=1. What are the values of y that you get for x=1 according to the given table?

Answer 10

0?

Answer 11

Yes. that is one y value, then you also get -1 as per the table given by you, right?

Answer 12

Yes

Answer 13

That basically means you have 2 values of y for a single value of x , right?

Answer 14

Yes

Answer 15

So , I dont think it is a function, since for the x values there is 1,1,2,2.

Answer 16

Remember this, it's not for the x values that a relation doesn't become a function but for the y values. In this case, x=1 yields y=-1 as well as y=0, it doesn't pinpoint you towards any single value of y, you can have y=-1 as well as y=0. Hence, this relation won't be a function. Also remember that all functions are relations but not vice-versa.

Answer 17

Oh ok. that makes sense. So now on to part c?

Answer 18

An ordered pair is something written in the form (x,y) where x and y are x and y coordinates respectively.

Answer 19

so (-4,6)??

Answer 20

If you are writing the ordered pair for part B , it would be (4,2) since putting a value of 4 gives f(4)=-4+6=2. This f(x) term is nothing but your y-coordinate. In part C it is told that Jess is at a distance of p meters from the hoop,so that will be your x in this case. Now you put f(p)=y=-p+6 thus yielding the ordered pair of (p,6-p). You can check for yourself.

Answer 21

yeah, that makes sense. Thank you for helping me!

Answer 22

Welcome.