Question

Which of the following function(s) represent(s) a linear function?

• A. ${\text{y = mx}}^2$
• B. $\text{y}=\frac{1}{2}x+4$
• C. $\text{y}={\text{ax}}^2+\text{bx + c}$
• D. All the three options are linear functions.

Answer 1

The correct option is B $\text{y}=\frac{1}{2}x+4$

For a function to be linear the highest power (degree) of both the variables should be unity i.e, 1

From the above options given, power of x in options "a" and "c" have power greater than 1.
So the functions are not linear.

$\text{Only in option "b", power of x has power}$
$\text{equal to 1.}$

$\therefore \text{y}=\frac{1}{2}x+4\text{is a linear function}.$