Question

$y=2x+2$ is a

• A. Linear function
• B. Non linear function
• C. Not a function

Answer 1

The correct option is A Linear function

Given function $y=2x+2$


$y=2x+2$ is a function as is a function as for every input values of $x$ different outputs $y$ will be obtained.

Also, $y=2x+2$ can be written as $y=2x^1+2x^0$
We know that a function having the exponents of $x$ as $0$ or $1$ is a linear function.
Here in $y=2x+2$ the exponent of $x$ are $1$ and $0$. Hence $y=2x+2$ is a linear function.
Also a function whose graph is a straight line is a linear function.