Question

Is the function linear or nonlinear?

x −3 −1 0 1 3
y −5 −1 1 3 7


A.
linear

B.
nonlinear

Answer 1

I think nonlinear. Im sure

Answer 2

@AlexandervonHumboldt2

Answer 3

correct

Answer 4

please a linear function between the variable x and y is given by the subsequent formula:
\[y = ax + b\]
where a and b are two parameters

Answer 5

for example substituting the pair (0,1) I get:
1 = a*0 + b
so b=1
whereas substituting the pair (1,3), I get:
3 = a+b
3 = a + 1
and a=2
so we got a= 2 and b=1
and:
\[y = 2x + 1\]

Answer 6

so your function is a linear function, please check that all of your ordered pairs make that formula as an identity