Question

These order pairs represent functions. Write a rule that represents the function. I GIVE MEDALS!
(0,-1) (1,0) (2,7) (3,26) (4,63)


Next one....
(0,2) (1,1) (2,0) (3,-1) (4,-2)

Answer 1

The first one isn't too bad. You just have to notice the pattern. The first coordinate is a clue. If x is zero then to get to -1 you subtract one. Same with the second. Notice that all the y coordinates are odd numbers so you subtract one every time. You could try squaring all of them but that doesn't work for the third (2,7). What about cube?

Answer 2

Yes, we can do cube, but can you help me with the answer?

Answer 3

Sure what. Did you try cubing the x coordinates

Answer 4

The first one is confusing because they are big problems, I don't know can you hlp?

Answer 5

They aren't big you just have to notice the pattern. What happens if you cube the x coordinates?

Answer 6

they double

Answer 7

What is
\[0^3 ; 1^3 ...\]

Answer 8

0,1

Answer 9

so for the rule I got y=.......-1

Answer 10

ok what are you missing? cube the other numbers

Answer 11

y=x to the 3rd power -1

Answer 12

??

Answer 13

notice that the y is constantly decreasing by 1 as the x value increases by 1. Try sketching these coordinates to see what the plot looks like

Answer 14

I did and yes i see it decrease by 1 on the y so would that mean that part of the equation would be y=.....-1?

Answer 15

Is it y=-x+2?

Answer 16

Looks like it to me

Answer 17

:) Omg thanks! You are a lifesaver!

Answer 18

It helps if you sketch the graph to see what is going on. Even if it isn't 100 you can get a rough idea of what you are looking for

Answer 19

I didn't sketch a graph I made a table :)