Only function 2 represent a linear function.
How to find whether a function is linear or non-linear
Herein we find four cases of functions, of which we are asked to determine if each function is linear or not. A function is linear if and only if the change between every pair of two consecutives values of x and y is the same. Now we proceed to check each case:
Function 1
Δx = - 1 - (- 3) = 2; Δy = 6 - 2 = 4
Δx = 1 - (- 1) = 2; Δy = 18 - 6 = 12
Δx = 3 - 1 = 2; Δy = 54 - 18 = 36
The function is not linear.
Function 2
Δx = 5 - 1 = 4; Δy = - 1 - 1 = - 2
Δx = 9 - 5 = 4; Δy = - 3 - (- 1) = - 2
Δx = 13 - 9 = 4; Δy = - 5 - (- 3) = - 2
The function is linear.
Function 3
Δx = 5 - 4 = 1; Δy = - 10 - (- 5) = - 5
Δx = 6 - 5 = 1; Δy = - 13 - (- 10) = - 3
Δx = 7 - 6 = 1; Δy = - 15 - (- 13) = - 2
The function is not linear.
Function 4
Δx = 1 - (- 2) = 3; Δy = 5 - 4 = 1
Δx = 4 - 1 = 3; Δy = 6 - 5 = 1
Δx = 7 - 4 = 3; Δy = 1 - 6 = - 5
The function is not linear.
To learn more on linear functions: https://brainly.com/question/21107621
#SPJ1
