Question

whoever gives me the first answer to the question gets a medal!

Answer 1

Which statement best explains whether the table represents a linear or nonlinear function?
Input
(x) Output
(y)
0 1
1 2
2 4
3 16

It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change is both the input and output values.
It is a linear function because the output values are increasing at different rates.
It is a nonlinear function because the output values are increasing at different rates.

Answer 2

Have you tried graphing it?

Answer 3

I think if you graph it, you will have a better picture of what's going on

Answer 4

the options suggest finding the slope (rate of change) between points

Answer 5

also, a line is an arithmatic progression of points

Answer 6

cool!

Answer 7

2 options are simply contradictions of a line function.

does a line have a constant rate of change? or does it differ?

Answer 8

i think its straight.

Answer 9

It is a linear function because there is a constant rate of change in both the input and output values.

Answer 10

x changes by 1 each time

does y have a constant change each time? and what is it?

Answer 11

If you want \[m = \frac{ y_{2}-y _{1} }{ x _{2}-x _{1} }\] here is the slope formula

Answer 12

y increases by 2 except for the last one, it is exaggerated

Answer 13

1+d=2
2+d =4

is this possible if d is the same each time?

Answer 14

i guess not...

Answer 15

as x changes by 1each time, y does not have a constant rate of change

Answer 16

ok so its D. It is a nonlinear function because the output values are increasing at different rates.

Answer 17

correct :)

Answer 18

Thank you!

Answer 19

youre welcome