Question

The linear function among the following is/are

• A. $y=a{x}^3+bx+c,a,b,c\in R$
• B. $y=p{x}^2+r,p,r\in R$
• C. $y=|x|$
• D. $y=fx+g,f,g\in R,f\ne 0$

Answer 1

Answer: (C), (D)

$y=fx+g,f,g\in R,f\ne 0$

$y=fx+g$ is clearly a linear function and forms a straight line.

$y=|x|$ is clearly a linear function and forms a straight line.

$y=a{x}^3+bx+c$ and $y=p{x}^2+r$ are not an equation of straight line and are not a linear function.