Question

Match the following with their correct options

• A. Relation only
• B. Function
• C. Constant function
• D. Function

Answer 1

$y=a^m+b{x}^n+c$
$\to$This relation is a function as for a particular value of input $x$, there is one and only one value of output $y$.
$y=a^2$
$\to$ It is a constant function as $a$ is a constant.
$y=x^2$
$\to$ This is a function as for every value of $x$ there is a different value of $y$.
$x=3$
$\to$ This is a relation only as for value of $x$ for all values of $y$. It has infinite solution.