Question

Which equation does not represent a linear function?

A. y= 2 (x-3)
B. y= 2^2 -3x
C. y= x+1/5
D. y= 2x^2 + 3x

Answer 1

D

Explanation:

Linear means that all variables have no exponent on them (or more specifically have an exponent of 1) And also only have some constant multiplying them. if there is anything more it is not linear.

A) no exponent( or exponent of 1) and will only have a coefficient of 2 if you distribute it, so this is linear.

B) no exponent on the x and only multiplied by -3, so this is linear.

C) no exponent and no visible number multiplying the x (which means both exponent and coefficient are 1)

d) x has an exponent, not linear.

Answer 2

Answer: option B and option D do not represent a linear function.

Explanation:

In a linear function, the highest power to which the variable or variables are raised is 1. Looking at the given functions,

A. y = 2(x-3) is a linear function because the highest power to which x is raised is 1.

B. y= 2^2 -3x is not a linear function because the highest power to which x is raised is 2

C. y = x + 1/5 is a linear function because the highest power to which x is raised is 1.

D. y= 2x^2 + 3x is not a linear function because the highest power to which x is raised is 2